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Finding the Third Proportional to 10,416,498 and 22,819,044

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Solution

The third proportional to 10,416,498 and 22,819,044 is: 49,988,851.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416,498 : 22,819,044 = 22,819,044 : x
  2. Step 2: Convert to fraction form
    10,416,498/22,819,044 = 22,819,044/x
  3. Step 3: Cross multiply
    10,416,498x = 22,819,044 × 22,819,044
  4. Step 4: Simplify right side
    10,416,498x = 520,708,769,073,936
  5. Step 5: Solve for x
    x = 520,708,769,073,936/10,416,498
  6. Step 6: Final answer
    x = 49,988,851.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.