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Finding the Third Proportional to 29,814,693 and 64,416,447

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Solution

The third proportional to 29,814,693 and 64,416,447 is: 139,175,628.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,814,693 : 64,416,447 = 64,416,447 : x
  2. Step 2: Convert to fraction form
    29,814,693/64,416,447 = 64,416,447/x
  3. Step 3: Cross multiply
    29,814,693x = 64,416,447 × 64,416,447
  4. Step 4: Simplify right side
    29,814,693x = 4,149,478,644,103,809
  5. Step 5: Solve for x
    x = 4,149,478,644,103,809/29,814,693
  6. Step 6: Final answer
    x = 139,175,628.74

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.