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Finding the Third Proportional to 2,488,128,192 and 5,345,506,737

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Solution

The third proportional to 2,488,128,192 and 5,345,506,737 is: 11,484,312,732.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488,128,192 : 5,345,506,737 = 5,345,506,737 : x
  2. Step 2: Convert to fraction form
    2,488,128,192/5,345,506,737 = 5,345,506,737/x
  3. Step 3: Cross multiply
    2,488,128,192x = 5,345,506,737 × 5,345,506,737
  4. Step 4: Simplify right side
    2,488,128,192x = 28,574,442,275,312,386,048
  5. Step 5: Solve for x
    x = 28,574,442,275,312,386,048/2,488,128,192
  6. Step 6: Final answer
    x = 11,484,312,732.43

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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.