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Finding the Third Proportional to 779,176,676 and 1,714,187,141

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Solution

The third proportional to 779,176,676 and 1,714,187,141 is: 3,771,208,308.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,176,676 : 1,714,187,141 = 1,714,187,141 : x
  2. Step 2: Convert to fraction form
    779,176,676/1,714,187,141 = 1,714,187,141/x
  3. Step 3: Cross multiply
    779,176,676x = 1,714,187,141 × 1,714,187,141
  4. Step 4: Simplify right side
    779,176,676x = 2,938,437,554,369,754,112
  5. Step 5: Solve for x
    x = 2,938,437,554,369,754,112/779,176,676
  6. Step 6: Final answer
    x = 3,771,208,308.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.