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Finding the Third Proportional to 33,996,345 and 72,843,473

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Solution

The third proportional to 33,996,345 and 72,843,473 is: 156,080,648.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,996,345 : 72,843,473 = 72,843,473 : x
  2. Step 2: Convert to fraction form
    33,996,345/72,843,473 = 72,843,473/x
  3. Step 3: Cross multiply
    33,996,345x = 72,843,473 × 72,843,473
  4. Step 4: Simplify right side
    33,996,345x = 5,306,171,558,701,729
  5. Step 5: Solve for x
    x = 5,306,171,558,701,729/33,996,345
  6. Step 6: Final answer
    x = 156,080,648.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.