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Finding the Third Proportional to 22,696,270.31 and 48,547,971.56

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Solution

The third proportional to 22,696,270.31 and 48,547,971.56 is: 103,845,500.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,696,270.31 : 48,547,971.56 = 48,547,971.56 : x
  2. Step 2: Convert to fraction form
    22,696,270.31/48,547,971.56 = 48,547,971.56/x
  3. Step 3: Cross multiply
    22,696,270.31x = 48,547,971.56 × 48,547,971.56
  4. Step 4: Simplify right side
    22,696,270.31x = 2,356,905,542,833,308.50
  5. Step 5: Solve for x
    x = 2,356,905,542,833,308.50/22,696,270.31
  6. Step 6: Final answer
    x = 103,845,500.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.