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Finding the Third Proportional to 33,547,616 and 73,376,296

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Solution

The third proportional to 33,547,616 and 73,376,296 is: 160,490,713.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,547,616 : 73,376,296 = 73,376,296 : x
  2. Step 2: Convert to fraction form
    33,547,616/73,376,296 = 73,376,296/x
  3. Step 3: Cross multiply
    33,547,616x = 73,376,296 × 73,376,296
  4. Step 4: Simplify right side
    33,547,616x = 5,384,080,814,679,616
  5. Step 5: Solve for x
    x = 5,384,080,814,679,616/33,547,616
  6. Step 6: Final answer
    x = 160,490,713.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.