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Finding the Third Proportional to 1,025,625,670 and 2,418,688,687

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Solution

The third proportional to 1,025,625,670 and 2,418,688,687 is: 5,703,888,987.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025,625,670 : 2,418,688,687 = 2,418,688,687 : x
  2. Step 2: Convert to fraction form
    1,025,625,670/2,418,688,687 = 2,418,688,687/x
  3. Step 3: Cross multiply
    1,025,625,670x = 2,418,688,687 × 2,418,688,687
  4. Step 4: Simplify right side
    1,025,625,670x = 5,850,054,964,621,784,064
  5. Step 5: Solve for x
    x = 5,850,054,964,621,784,064/1,025,625,670
  6. Step 6: Final answer
    x = 5,703,888,987.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.