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Finding the Third Proportional to 5,142,427 and 10,710,488

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Solution

The third proportional to 5,142,427 and 10,710,488 is: 22,307,473.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142,427 : 10,710,488 = 10,710,488 : x
  2. Step 2: Convert to fraction form
    5,142,427/10,710,488 = 10,710,488/x
  3. Step 3: Cross multiply
    5,142,427x = 10,710,488 × 10,710,488
  4. Step 4: Simplify right side
    5,142,427x = 114,714,553,198,144
  5. Step 5: Solve for x
    x = 114,714,553,198,144/5,142,427
  6. Step 6: Final answer
    x = 22,307,473.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.