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Finding the Third Proportional to 10,610,965 and 22,734,602

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Solution

The third proportional to 10,610,965 and 22,734,602 is: 48,710,190.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,610,965 : 22,734,602 = 22,734,602 : x
  2. Step 2: Convert to fraction form
    10,610,965/22,734,602 = 22,734,602/x
  3. Step 3: Cross multiply
    10,610,965x = 22,734,602 × 22,734,602
  4. Step 4: Simplify right side
    10,610,965x = 516,862,128,098,404
  5. Step 5: Solve for x
    x = 516,862,128,098,404/10,610,965
  6. Step 6: Final answer
    x = 48,710,190.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.