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Finding the Third Proportional to 664,683,302 and 1,538,621,566

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Solution

The third proportional to 664,683,302 and 1,538,621,566 is: 3,561,630,503.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,683,302 : 1,538,621,566 = 1,538,621,566 : x
  2. Step 2: Convert to fraction form
    664,683,302/1,538,621,566 = 1,538,621,566/x
  3. Step 3: Cross multiply
    664,683,302x = 1,538,621,566 × 1,538,621,566
  4. Step 4: Simplify right side
    664,683,302x = 2,367,356,323,360,292,352
  5. Step 5: Solve for x
    x = 2,367,356,323,360,292,352/664,683,302
  6. Step 6: Final answer
    x = 3,561,630,503.18

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.