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Finding the Third Proportional to 344,795,952 and 766,119,360

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Solution

The third proportional to 344,795,952 and 766,119,360 is: 1,702,278,899.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,795,952 : 766,119,360 = 766,119,360 : x
  2. Step 2: Convert to fraction form
    344,795,952/766,119,360 = 766,119,360/x
  3. Step 3: Cross multiply
    344,795,952x = 766,119,360 × 766,119,360
  4. Step 4: Simplify right side
    344,795,952x = 586,938,873,766,809,600
  5. Step 5: Solve for x
    x = 586,938,873,766,809,600/344,795,952
  6. Step 6: Final answer
    x = 1,702,278,899.63

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.