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Finding the Third Proportional to 286,577,732 and 614,046,910

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Solution

The third proportional to 286,577,732 and 614,046,910 is: 1,315,711,465.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,577,732 : 614,046,910 = 614,046,910 : x
  2. Step 2: Convert to fraction form
    286,577,732/614,046,910 = 614,046,910/x
  3. Step 3: Cross multiply
    286,577,732x = 614,046,910 × 614,046,910
  4. Step 4: Simplify right side
    286,577,732x = 377,053,607,680,548,096
  5. Step 5: Solve for x
    x = 377,053,607,680,548,096/286,577,732
  6. Step 6: Final answer
    x = 1,315,711,465.26

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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.