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Finding the Third Proportional to 34,500,502,482 and 51,612,838,347

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Solution

The third proportional to 34,500,502,482 and 51,612,838,347 is: 77,212,935,771.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,500,502,482 : 51,612,838,347 = 51,612,838,347 : x
  2. Step 2: Convert to fraction form
    34,500,502,482/51,612,838,347 = 51,612,838,347/x
  3. Step 3: Cross multiply
    34,500,502,482x = 51,612,838,347 × 51,612,838,347
  4. Step 4: Simplify right side
    34,500,502,482x = 2,663,885,082,233,553,813,504
  5. Step 5: Solve for x
    x = 2,663,885,082,233,553,813,504/34,500,502,482
  6. Step 6: Final answer
    x = 77,212,935,771.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.