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Finding the Third Proportional to 40,826,700,918 and 64,044,988,956

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Solution

The third proportional to 40,826,700,918 and 64,044,988,956 is: 100,467,598,854.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,826,700,918 : 64,044,988,956 = 64,044,988,956 : x
  2. Step 2: Convert to fraction form
    40,826,700,918/64,044,988,956 = 64,044,988,956/x
  3. Step 3: Cross multiply
    40,826,700,918x = 64,044,988,956 × 64,044,988,956
  4. Step 4: Simplify right side
    40,826,700,918x = 4,101,760,610,374,161,793,024
  5. Step 5: Solve for x
    x = 4,101,760,610,374,161,793,024/40,826,700,918
  6. Step 6: Final answer
    x = 100,467,598,854.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.