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Finding the Third Proportional to 725,415,031.13 and 1,573,991,503.88

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Solution

The third proportional to 725,415,031.13 and 1,573,991,503.88 is: 3,415,216,321.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,415,031.13 : 1,573,991,503.88 = 1,573,991,503.88 : x
  2. Step 2: Convert to fraction form
    725,415,031.13/1,573,991,503.88 = 1,573,991,503.88/x
  3. Step 3: Cross multiply
    725,415,031.13x = 1,573,991,503.88 × 1,573,991,503.88
  4. Step 4: Simplify right side
    725,415,031.13x = 2,477,449,254,270,684,160
  5. Step 5: Solve for x
    x = 2,477,449,254,270,684,160/725,415,031.13
  6. Step 6: Final answer
    x = 3,415,216,321.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.