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Finding the Third Proportional to 10,221,312 and 22,516,629

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Solution

The third proportional to 10,221,312 and 22,516,629 is: 49,602,104.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221,312 : 22,516,629 = 22,516,629 : x
  2. Step 2: Convert to fraction form
    10,221,312/22,516,629 = 22,516,629/x
  3. Step 3: Cross multiply
    10,221,312x = 22,516,629 × 22,516,629
  4. Step 4: Simplify right side
    10,221,312x = 506,998,581,523,641
  5. Step 5: Solve for x
    x = 506,998,581,523,641/10,221,312
  6. Step 6: Final answer
    x = 49,602,104.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.