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Finding the Third Proportional to 32,716,478 and 68,817,448

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Solution

The third proportional to 32,716,478 and 68,817,448 is: 144,754,002.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,716,478 : 68,817,448 = 68,817,448 : x
  2. Step 2: Convert to fraction form
    32,716,478/68,817,448 = 68,817,448/x
  3. Step 3: Cross multiply
    32,716,478x = 68,817,448 × 68,817,448
  4. Step 4: Simplify right side
    32,716,478x = 4,735,841,149,232,704
  5. Step 5: Solve for x
    x = 4,735,841,149,232,704/32,716,478
  6. Step 6: Final answer
    x = 144,754,002.84

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.