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Finding the Third Proportional to 4,661,027,748 and 9,986,887,458

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Solution

The third proportional to 4,661,027,748 and 9,986,887,458 is: 21,398,268,041.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661,027,748 : 9,986,887,458 = 9,986,887,458 : x
  2. Step 2: Convert to fraction form
    4,661,027,748/9,986,887,458 = 9,986,887,458/x
  3. Step 3: Cross multiply
    4,661,027,748x = 9,986,887,458 × 9,986,887,458
  4. Step 4: Simplify right side
    4,661,027,748x = 99,737,921,098,757,701,632
  5. Step 5: Solve for x
    x = 99,737,921,098,757,701,632/4,661,027,748
  6. Step 6: Final answer
    x = 21,398,268,041.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.