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Finding the Third Proportional to 814,877,373 and 1,765,129,827

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Solution

The third proportional to 814,877,373 and 1,765,129,827 is: 3,823,499,595.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,877,373 : 1,765,129,827 = 1,765,129,827 : x
  2. Step 2: Convert to fraction form
    814,877,373/1,765,129,827 = 1,765,129,827/x
  3. Step 3: Cross multiply
    814,877,373x = 1,765,129,827 × 1,765,129,827
  4. Step 4: Simplify right side
    814,877,373x = 3,115,683,306,165,049,856
  5. Step 5: Solve for x
    x = 3,115,683,306,165,049,856/814,877,373
  6. Step 6: Final answer
    x = 3,823,499,595.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.