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Finding the Third Proportional to 10,417,616 and 22,435,293

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Solution

The third proportional to 10,417,616 and 22,435,293 is: 48,316,464.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,417,616 : 22,435,293 = 22,435,293 : x
  2. Step 2: Convert to fraction form
    10,417,616/22,435,293 = 22,435,293/x
  3. Step 3: Cross multiply
    10,417,616x = 22,435,293 × 22,435,293
  4. Step 4: Simplify right side
    10,417,616x = 503,342,371,995,849
  5. Step 5: Solve for x
    x = 503,342,371,995,849/10,417,616
  6. Step 6: Final answer
    x = 48,316,464.34

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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.