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Finding the Third Proportional to 245,612,056 and 532,665,120

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Solution

The third proportional to 245,612,056 and 532,665,120 is: 1,155,204,409.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,612,056 : 532,665,120 = 532,665,120 : x
  2. Step 2: Convert to fraction form
    245,612,056/532,665,120 = 532,665,120/x
  3. Step 3: Cross multiply
    245,612,056x = 532,665,120 × 532,665,120
  4. Step 4: Simplify right side
    245,612,056x = 283,732,130,064,614,400
  5. Step 5: Solve for x
    x = 283,732,130,064,614,400/245,612,056
  6. Step 6: Final answer
    x = 1,155,204,409.28

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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.