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Finding the Third Proportional to 7,466,074,380 and 15,997,081,098.38

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Solution

The third proportional to 7,466,074,380 and 15,997,081,098.38 is: 34,275,924,755.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,466,074,380 : 15,997,081,098.38 = 15,997,081,098.38 : x
  2. Step 2: Convert to fraction form
    7,466,074,380/15,997,081,098.38 = 15,997,081,098.38/x
  3. Step 3: Cross multiply
    7,466,074,380x = 15,997,081,098.38 × 15,997,081,098.38
  4. Step 4: Simplify right side
    7,466,074,380x = 255,906,603,667,986,710,528
  5. Step 5: Solve for x
    x = 255,906,603,667,986,710,528/7,466,074,380
  6. Step 6: Final answer
    x = 34,275,924,755.52

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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.