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Finding the Third Proportional to 782,295,586.50 and 1,657,859,055

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Solution

The third proportional to 782,295,586.50 and 1,657,859,055 is: 3,513,373,581.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,295,586.50 : 1,657,859,055 = 1,657,859,055 : x
  2. Step 2: Convert to fraction form
    782,295,586.50/1,657,859,055 = 1,657,859,055/x
  3. Step 3: Cross multiply
    782,295,586.50x = 1,657,859,055 × 1,657,859,055
  4. Step 4: Simplify right side
    782,295,586.50x = 2,748,496,646,245,493,248
  5. Step 5: Solve for x
    x = 2,748,496,646,245,493,248/782,295,586.50
  6. Step 6: Final answer
    x = 3,513,373,581.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.