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Finding the Third Proportional to 264,473,637.75 and 617,589,226.13

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Solution

The third proportional to 264,473,637.75 and 617,589,226.13 is: 1,442,171,913.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,473,637.75 : 617,589,226.13 = 617,589,226.13 : x
  2. Step 2: Convert to fraction form
    264,473,637.75/617,589,226.13 = 617,589,226.13/x
  3. Step 3: Cross multiply
    264,473,637.75x = 617,589,226.13 × 617,589,226.13
  4. Step 4: Simplify right side
    264,473,637.75x = 381,416,452,225,676,352
  5. Step 5: Solve for x
    x = 381,416,452,225,676,352/264,473,637.75
  6. Step 6: Final answer
    x = 1,442,171,913.51

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.