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Finding the Third Proportional to 33,013,490 and 77,679,344

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Solution

The third proportional to 33,013,490 and 77,679,344 is: 182,776,207.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,013,490 : 77,679,344 = 77,679,344 : x
  2. Step 2: Convert to fraction form
    33,013,490/77,679,344 = 77,679,344/x
  3. Step 3: Cross multiply
    33,013,490x = 77,679,344 × 77,679,344
  4. Step 4: Simplify right side
    33,013,490x = 6,034,080,484,270,336
  5. Step 5: Solve for x
    x = 6,034,080,484,270,336/33,013,490
  6. Step 6: Final answer
    x = 182,776,207.07

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.