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Finding the Third Proportional to 302,859,018,062 and 654,074,290,972

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Solution

The third proportional to 302,859,018,062 and 654,074,290,972 is: 1,412,581,936,136.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,859,018,062 : 654,074,290,972 = 654,074,290,972 : x
  2. Step 2: Convert to fraction form
    302,859,018,062/654,074,290,972 = 654,074,290,972/x
  3. Step 3: Cross multiply
    302,859,018,062x = 654,074,290,972 × 654,074,290,972
  4. Step 4: Simplify right side
    302,859,018,062x = 427,813,178,110,524,549,758,976
  5. Step 5: Solve for x
    x = 427,813,178,110,524,549,758,976/302,859,018,062
  6. Step 6: Final answer
    x = 1,412,581,936,136.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.