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Finding the Third Proportional to 10,503,564 and 22,799,748

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Solution

The third proportional to 10,503,564 and 22,799,748 is: 49,490,678.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503,564 : 22,799,748 = 22,799,748 : x
  2. Step 2: Convert to fraction form
    10,503,564/22,799,748 = 22,799,748/x
  3. Step 3: Cross multiply
    10,503,564x = 22,799,748 × 22,799,748
  4. Step 4: Simplify right side
    10,503,564x = 519,828,508,863,504
  5. Step 5: Solve for x
    x = 519,828,508,863,504/10,503,564
  6. Step 6: Final answer
    x = 49,490,678.48

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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.