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Finding the Third Proportional to 736,561,986.75 and 1,595,720,511

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Solution

The third proportional to 736,561,986.75 and 1,595,720,511 is: 3,457,039,590.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,561,986.75 : 1,595,720,511 = 1,595,720,511 : x
  2. Step 2: Convert to fraction form
    736,561,986.75/1,595,720,511 = 1,595,720,511/x
  3. Step 3: Cross multiply
    736,561,986.75x = 1,595,720,511 × 1,595,720,511
  4. Step 4: Simplify right side
    736,561,986.75x = 2,546,323,949,226,101,248
  5. Step 5: Solve for x
    x = 2,546,323,949,226,101,248/736,561,986.75
  6. Step 6: Final answer
    x = 3,457,039,590.74

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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.