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Finding the Third Proportional to 448,740,727 and 670,637,833

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Solution

The third proportional to 448,740,727 and 670,637,833 is: 1,002,260,494.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,740,727 : 670,637,833 = 670,637,833 : x
  2. Step 2: Convert to fraction form
    448,740,727/670,637,833 = 670,637,833/x
  3. Step 3: Cross multiply
    448,740,727x = 670,637,833 × 670,637,833
  4. Step 4: Simplify right side
    448,740,727x = 449,755,103,050,935,872
  5. Step 5: Solve for x
    x = 449,755,103,050,935,872/448,740,727
  6. Step 6: Final answer
    x = 1,002,260,494.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.