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Finding the Third Proportional to 3,178,252,472 and 6,842,238,862

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Solution

The third proportional to 3,178,252,472 and 6,842,238,862 is: 14,730,180,518.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178,252,472 : 6,842,238,862 = 6,842,238,862 : x
  2. Step 2: Convert to fraction form
    3,178,252,472/6,842,238,862 = 6,842,238,862/x
  3. Step 3: Cross multiply
    3,178,252,472x = 6,842,238,862 × 6,842,238,862
  4. Step 4: Simplify right side
    3,178,252,472x = 46,816,232,644,663,058,432
  5. Step 5: Solve for x
    x = 46,816,232,644,663,058,432/3,178,252,472
  6. Step 6: Final answer
    x = 14,730,180,518.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.