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Finding the Third Proportional to 776,838,748 and 1,664,482,832

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Solution

The third proportional to 776,838,748 and 1,664,482,832 is: 3,566,381,189.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,838,748 : 1,664,482,832 = 1,664,482,832 : x
  2. Step 2: Convert to fraction form
    776,838,748/1,664,482,832 = 1,664,482,832/x
  3. Step 3: Cross multiply
    776,838,748x = 1,664,482,832 × 1,664,482,832
  4. Step 4: Simplify right side
    776,838,748x = 2,770,503,098,022,739,968
  5. Step 5: Solve for x
    x = 2,770,503,098,022,739,968/776,838,748
  6. Step 6: Final answer
    x = 3,566,381,189.35

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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.