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Finding the Third Proportional to 8,913,684 and 19,531,053

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Solution

The third proportional to 8,913,684 and 19,531,053 is: 42,795,103.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,913,684 : 19,531,053 = 19,531,053 : x
  2. Step 2: Convert to fraction form
    8,913,684/19,531,053 = 19,531,053/x
  3. Step 3: Cross multiply
    8,913,684x = 19,531,053 × 19,531,053
  4. Step 4: Simplify right side
    8,913,684x = 381,462,031,288,809
  5. Step 5: Solve for x
    x = 381,462,031,288,809/8,913,684
  6. Step 6: Final answer
    x = 42,795,103.72

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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.