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Finding the Third Proportional to 725,555,890.13 and 1,586,914,264.13

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Solution

The third proportional to 725,555,890.13 and 1,586,914,264.13 is: 3,470,851,682.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,555,890.13 : 1,586,914,264.13 = 1,586,914,264.13 : x
  2. Step 2: Convert to fraction form
    725,555,890.13/1,586,914,264.13 = 1,586,914,264.13/x
  3. Step 3: Cross multiply
    725,555,890.13x = 1,586,914,264.13 × 1,586,914,264.13
  4. Step 4: Simplify right side
    725,555,890.13x = 2,518,296,881,683,390,464
  5. Step 5: Solve for x
    x = 2,518,296,881,683,390,464/725,555,890.13
  6. Step 6: Final answer
    x = 3,470,851,682.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.