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Finding the Third Proportional to 34,500,502,480 and 51,612,838,344

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Solution

The third proportional to 34,500,502,480 and 51,612,838,344 is: 77,212,935,767.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,500,502,480 : 51,612,838,344 = 51,612,838,344 : x
  2. Step 2: Convert to fraction form
    34,500,502,480/51,612,838,344 = 51,612,838,344/x
  3. Step 3: Cross multiply
    34,500,502,480x = 51,612,838,344 × 51,612,838,344
  4. Step 4: Simplify right side
    34,500,502,480x = 2,663,885,081,923,876,814,848
  5. Step 5: Solve for x
    x = 2,663,885,081,923,876,814,848/34,500,502,480
  6. Step 6: Final answer
    x = 77,212,935,767.19

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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.