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Finding the Third Proportional to 291,314,540 and 624,181,080

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Solution

The third proportional to 291,314,540 and 624,181,080 is: 1,337,392,979.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,314,540 : 624,181,080 = 624,181,080 : x
  2. Step 2: Convert to fraction form
    291,314,540/624,181,080 = 624,181,080/x
  3. Step 3: Cross multiply
    291,314,540x = 624,181,080 × 624,181,080
  4. Step 4: Simplify right side
    291,314,540x = 389,602,020,629,966,400
  5. Step 5: Solve for x
    x = 389,602,020,629,966,400/291,314,540
  6. Step 6: Final answer
    x = 1,337,392,979.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.