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Finding the Third Proportional to 874,262,199 and 1,427,440,358.25

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Solution

The third proportional to 874,262,199 and 1,427,440,358.25 is: 2,330,634,881.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,262,199 : 1,427,440,358.25 = 1,427,440,358.25 : x
  2. Step 2: Convert to fraction form
    874,262,199/1,427,440,358.25 = 1,427,440,358.25/x
  3. Step 3: Cross multiply
    874,262,199x = 1,427,440,358.25 × 1,427,440,358.25
  4. Step 4: Simplify right side
    874,262,199x = 2,037,585,976,360,888,320
  5. Step 5: Solve for x
    x = 2,037,585,976,360,888,320/874,262,199
  6. Step 6: Final answer
    x = 2,330,634,881.27

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.