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Finding the Third Proportional to 10,120,741 and 22,038,463

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Solution

The third proportional to 10,120,741 and 22,038,463 is: 47,989,949.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,120,741 : 22,038,463 = 22,038,463 : x
  2. Step 2: Convert to fraction form
    10,120,741/22,038,463 = 22,038,463/x
  3. Step 3: Cross multiply
    10,120,741x = 22,038,463 × 22,038,463
  4. Step 4: Simplify right side
    10,120,741x = 485,693,851,402,369
  5. Step 5: Solve for x
    x = 485,693,851,402,369/10,120,741
  6. Step 6: Final answer
    x = 47,989,949.69

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Why These Related Problems?

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