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Finding the Third Proportional to 29,909,764 and 65,068,328

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Solution

The third proportional to 29,909,764 and 65,068,328 is: 141,555,356.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,909,764 : 65,068,328 = 65,068,328 : x
  2. Step 2: Convert to fraction form
    29,909,764/65,068,328 = 65,068,328/x
  3. Step 3: Cross multiply
    29,909,764x = 65,068,328 × 65,068,328
  4. Step 4: Simplify right side
    29,909,764x = 4,233,887,308,715,584
  5. Step 5: Solve for x
    x = 4,233,887,308,715,584/29,909,764
  6. Step 6: Final answer
    x = 141,555,356.60

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