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Finding the Third Proportional to 653,026,691 and 1,420,840,264

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Solution

The third proportional to 653,026,691 and 1,420,840,264 is: 3,091,431,152.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,026,691 : 1,420,840,264 = 1,420,840,264 : x
  2. Step 2: Convert to fraction form
    653,026,691/1,420,840,264 = 1,420,840,264/x
  3. Step 3: Cross multiply
    653,026,691x = 1,420,840,264 × 1,420,840,264
  4. Step 4: Simplify right side
    653,026,691x = 2,018,787,055,803,589,632
  5. Step 5: Solve for x
    x = 2,018,787,055,803,589,632/653,026,691
  6. Step 6: Final answer
    x = 3,091,431,152.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.