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Finding the Third Proportional to 819,779,685 and 1,785,115,114

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Solution

The third proportional to 819,779,685 and 1,785,115,114 is: 3,887,185,823.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,779,685 : 1,785,115,114 = 1,785,115,114 : x
  2. Step 2: Convert to fraction form
    819,779,685/1,785,115,114 = 1,785,115,114/x
  3. Step 3: Cross multiply
    819,779,685x = 1,785,115,114 × 1,785,115,114
  4. Step 4: Simplify right side
    819,779,685x = 3,186,635,970,231,233,024
  5. Step 5: Solve for x
    x = 3,186,635,970,231,233,024/819,779,685
  6. Step 6: Final answer
    x = 3,887,185,823.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.