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Finding the Third Proportional to 245,737,128 and 527,943,516

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Solution

The third proportional to 245,737,128 and 527,943,516 is: 1,134,237,867.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,737,128 : 527,943,516 = 527,943,516 : x
  2. Step 2: Convert to fraction form
    245,737,128/527,943,516 = 527,943,516/x
  3. Step 3: Cross multiply
    245,737,128x = 527,943,516 × 527,943,516
  4. Step 4: Simplify right side
    245,737,128x = 278,724,356,086,442,240
  5. Step 5: Solve for x
    x = 278,724,356,086,442,240/245,737,128
  6. Step 6: Final answer
    x = 1,134,237,867.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.