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Finding the Third Proportional to 8,696,407,785,001.50 and 18,919,645,205,938

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Solution

The third proportional to 8,696,407,785,001.50 and 18,919,645,205,938 is: 41,161,015,394,876.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,696,407,785,001.50 : 18,919,645,205,938 = 18,919,645,205,938 : x
  2. Step 2: Convert to fraction form
    8,696,407,785,001.50/18,919,645,205,938 = 18,919,645,205,938/x
  3. Step 3: Cross multiply
    8,696,407,785,001.50x = 18,919,645,205,938 × 18,919,645,205,938
  4. Step 4: Simplify right side
    8,696,407,785,001.50x = 357,952,974,718,572,714,910,547,968
  5. Step 5: Solve for x
    x = 357,952,974,718,572,714,910,547,968/8,696,407,785,001.50
  6. Step 6: Final answer
    x = 41,161,015,394,876.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.