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Finding the Third Proportional to 912,446,531 and 1,873,264,564

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Solution

The third proportional to 912,446,531 and 1,873,264,564 is: 3,845,836,449.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,446,531 : 1,873,264,564 = 1,873,264,564 : x
  2. Step 2: Convert to fraction form
    912,446,531/1,873,264,564 = 1,873,264,564/x
  3. Step 3: Cross multiply
    912,446,531x = 1,873,264,564 × 1,873,264,564
  4. Step 4: Simplify right side
    912,446,531x = 3,509,120,126,738,109,952
  5. Step 5: Solve for x
    x = 3,509,120,126,738,109,952/912,446,531
  6. Step 6: Final answer
    x = 3,845,836,449.06

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.