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Finding the Third Proportional to 2,475,670,671 and 3,703,702,927.50

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Solution

The third proportional to 2,475,670,671 and 3,703,702,927.50 is: 5,540,888,590.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475,670,671 : 3,703,702,927.50 = 3,703,702,927.50 : x
  2. Step 2: Convert to fraction form
    2,475,670,671/3,703,702,927.50 = 3,703,702,927.50/x
  3. Step 3: Cross multiply
    2,475,670,671x = 3,703,702,927.50 × 3,703,702,927.50
  4. Step 4: Simplify right side
    2,475,670,671x = 13,717,415,375,172,069,376
  5. Step 5: Solve for x
    x = 13,717,415,375,172,069,376/2,475,670,671
  6. Step 6: Final answer
    x = 5,540,888,590.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.