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Finding the Third Proportional to 436,944,568.64 and 935,868,432.52

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Solution

The third proportional to 436,944,568.64 and 935,868,432.52 is: 2,004,487,035.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,944,568.64 : 935,868,432.52 = 935,868,432.52 : x
  2. Step 2: Convert to fraction form
    436,944,568.64/935,868,432.52 = 935,868,432.52/x
  3. Step 3: Cross multiply
    436,944,568.64x = 935,868,432.52 × 935,868,432.52
  4. Step 4: Simplify right side
    436,944,568.64x = 875,849,722,979,243,520
  5. Step 5: Solve for x
    x = 875,849,722,979,243,520/436,944,568.64
  6. Step 6: Final answer
    x = 2,004,487,035.29

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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.