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Finding the Third Proportional to 2,056,518,324 and 3,132,963,414

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Solution

The third proportional to 2,056,518,324 and 3,132,963,414 is: 4,772,853,049.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056,518,324 : 3,132,963,414 = 3,132,963,414 : x
  2. Step 2: Convert to fraction form
    2,056,518,324/3,132,963,414 = 3,132,963,414/x
  3. Step 3: Cross multiply
    2,056,518,324x = 3,132,963,414 × 3,132,963,414
  4. Step 4: Simplify right side
    2,056,518,324x = 9,815,459,753,462,536,192
  5. Step 5: Solve for x
    x = 9,815,459,753,462,536,192/2,056,518,324
  6. Step 6: Final answer
    x = 4,772,853,049.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.