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Finding the Third Proportional to 3,124,781,721 and 4,760,429,478.75

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Solution

The third proportional to 3,124,781,721 and 4,760,429,478.75 is: 7,252,246,987.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124,781,721 : 4,760,429,478.75 = 4,760,429,478.75 : x
  2. Step 2: Convert to fraction form
    3,124,781,721/4,760,429,478.75 = 4,760,429,478.75/x
  3. Step 3: Cross multiply
    3,124,781,721x = 4,760,429,478.75 × 4,760,429,478.75
  4. Step 4: Simplify right side
    3,124,781,721x = 22,661,688,822,151,995,392
  5. Step 5: Solve for x
    x = 22,661,688,822,151,995,392/3,124,781,721
  6. Step 6: Final answer
    x = 7,252,246,987.32

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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.