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Finding the Third Proportional to 6,875,569 and 14,570,747

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Solution

The third proportional to 6,875,569 and 14,570,747 is: 30,878,414.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875,569 : 14,570,747 = 14,570,747 : x
  2. Step 2: Convert to fraction form
    6,875,569/14,570,747 = 14,570,747/x
  3. Step 3: Cross multiply
    6,875,569x = 14,570,747 × 14,570,747
  4. Step 4: Simplify right side
    6,875,569x = 212,306,668,138,009
  5. Step 5: Solve for x
    x = 212,306,668,138,009/6,875,569
  6. Step 6: Final answer
    x = 30,878,414.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.