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Finding the Third Proportional to 949,475,762,251.60 and 1,281,065,717,962.60

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Solution

The third proportional to 949,475,762,251.60 and 1,281,065,717,962.60 is: 1,728,458,417,777.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,475,762,251.60 : 1,281,065,717,962.60 = 1,281,065,717,962.60 : x
  2. Step 2: Convert to fraction form
    949,475,762,251.60/1,281,065,717,962.60 = 1,281,065,717,962.60/x
  3. Step 3: Cross multiply
    949,475,762,251.60x = 1,281,065,717,962.60 × 1,281,065,717,962.60
  4. Step 4: Simplify right side
    949,475,762,251.60x = 1,641,129,373,739,032,099,422,208
  5. Step 5: Solve for x
    x = 1,641,129,373,739,032,099,422,208/949,475,762,251.60
  6. Step 6: Final answer
    x = 1,728,458,417,777.02

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.