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Finding the Third Proportional to 766,882,854 and 1,677,254,534

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Solution

The third proportional to 766,882,854 and 1,677,254,534 is: 3,668,334,423.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,882,854 : 1,677,254,534 = 1,677,254,534 : x
  2. Step 2: Convert to fraction form
    766,882,854/1,677,254,534 = 1,677,254,534/x
  3. Step 3: Cross multiply
    766,882,854x = 1,677,254,534 × 1,677,254,534
  4. Step 4: Simplify right side
    766,882,854x = 2,813,182,771,823,557,120
  5. Step 5: Solve for x
    x = 2,813,182,771,823,557,120/766,882,854
  6. Step 6: Final answer
    x = 3,668,334,423.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.