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Finding the Third Proportional to 64,551,042 and 97,015,747

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Solution

The third proportional to 64,551,042 and 97,015,747 is: 145,807,950.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,551,042 : 97,015,747 = 97,015,747 : x
  2. Step 2: Convert to fraction form
    64,551,042/97,015,747 = 97,015,747/x
  3. Step 3: Cross multiply
    64,551,042x = 97,015,747 × 97,015,747
  4. Step 4: Simplify right side
    64,551,042x = 9,412,055,165,968,008
  5. Step 5: Solve for x
    x = 9,412,055,165,968,008/64,551,042
  6. Step 6: Final answer
    x = 145,807,950.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.