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Finding the Third Proportional to 676,161,040 and 1,015,856,664

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Solution

The third proportional to 676,161,040 and 1,015,856,664 is: 1,526,211,509.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,161,040 : 1,015,856,664 = 1,015,856,664 : x
  2. Step 2: Convert to fraction form
    676,161,040/1,015,856,664 = 1,015,856,664/x
  3. Step 3: Cross multiply
    676,161,040x = 1,015,856,664 × 1,015,856,664
  4. Step 4: Simplify right side
    676,161,040x = 1,031,964,761,793,208,832
  5. Step 5: Solve for x
    x = 1,031,964,761,793,208,832/676,161,040
  6. Step 6: Final answer
    x = 1,526,211,509.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.