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Finding the Third Proportional to 949,475,477,959 and 1,281,065,351,422

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Solution

The third proportional to 949,475,477,959 and 1,281,065,351,422 is: 1,728,457,946,214.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,475,477,959 : 1,281,065,351,422 = 1,281,065,351,422 : x
  2. Step 2: Convert to fraction form
    949,475,477,959/1,281,065,351,422 = 1,281,065,351,422/x
  3. Step 3: Cross multiply
    949,475,477,959x = 1,281,065,351,422 × 1,281,065,351,422
  4. Step 4: Simplify right side
    949,475,477,959x = 1,641,128,434,613,972,384,088,064
  5. Step 5: Solve for x
    x = 1,641,128,434,613,972,384,088,064/949,475,477,959
  6. Step 6: Final answer
    x = 1,728,457,946,214.42

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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.