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Finding the Third Proportional to 10,458,464 and 22,653,582

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Solution

The third proportional to 10,458,464 and 22,653,582 is: 49,068,847.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458,464 : 22,653,582 = 22,653,582 : x
  2. Step 2: Convert to fraction form
    10,458,464/22,653,582 = 22,653,582/x
  3. Step 3: Cross multiply
    10,458,464x = 22,653,582 × 22,653,582
  4. Step 4: Simplify right side
    10,458,464x = 513,184,777,430,724
  5. Step 5: Solve for x
    x = 513,184,777,430,724/10,458,464
  6. Step 6: Final answer
    x = 49,068,847.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.