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Finding the Third Proportional to 949,475,762,254 and 1,281,065,717,967

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Solution

The third proportional to 949,475,762,254 and 1,281,065,717,967 is: 1,728,458,417,784.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,475,762,254 : 1,281,065,717,967 = 1,281,065,717,967 : x
  2. Step 2: Convert to fraction form
    949,475,762,254/1,281,065,717,967 = 1,281,065,717,967/x
  3. Step 3: Cross multiply
    949,475,762,254x = 1,281,065,717,967 × 1,281,065,717,967
  4. Step 4: Simplify right side
    949,475,762,254x = 1,641,129,373,750,305,314,832,384
  5. Step 5: Solve for x
    x = 1,641,129,373,750,305,314,832,384/949,475,762,254
  6. Step 6: Final answer
    x = 1,728,458,417,784.53

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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.