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Finding the Third Proportional to 53,537,729 and 72,234,966

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Solution

The third proportional to 53,537,729 and 72,234,966 is: 97,461,928.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,537,729 : 72,234,966 = 72,234,966 : x
  2. Step 2: Convert to fraction form
    53,537,729/72,234,966 = 72,234,966/x
  3. Step 3: Cross multiply
    53,537,729x = 72,234,966 × 72,234,966
  4. Step 4: Simplify right side
    53,537,729x = 5,217,890,313,021,156
  5. Step 5: Solve for x
    x = 5,217,890,313,021,156/53,537,729
  6. Step 6: Final answer
    x = 97,461,928.45

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.