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Finding the Third Proportional to 985,140,288 and 2,141,754,496

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Solution

The third proportional to 985,140,288 and 2,141,754,496 is: 4,656,303,652.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,140,288 : 2,141,754,496 = 2,141,754,496 : x
  2. Step 2: Convert to fraction form
    985,140,288/2,141,754,496 = 2,141,754,496/x
  3. Step 3: Cross multiply
    985,140,288x = 2,141,754,496 × 2,141,754,496
  4. Step 4: Simplify right side
    985,140,288x = 4,587,112,321,136,214,016
  5. Step 5: Solve for x
    x = 4,587,112,321,136,214,016/985,140,288
  6. Step 6: Final answer
    x = 4,656,303,652.40

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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.