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Finding the Third Proportional to 10,475,242 and 22,551,428

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Solution

The third proportional to 10,475,242 and 22,551,428 is: 48,549,418.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475,242 : 22,551,428 = 22,551,428 : x
  2. Step 2: Convert to fraction form
    10,475,242/22,551,428 = 22,551,428/x
  3. Step 3: Cross multiply
    10,475,242x = 22,551,428 × 22,551,428
  4. Step 4: Simplify right side
    10,475,242x = 508,566,904,839,184
  5. Step 5: Solve for x
    x = 508,566,904,839,184/10,475,242
  6. Step 6: Final answer
    x = 48,549,418.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.