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Finding the Third Proportional to 819,779,508 and 1,785,114,805.50

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Solution

The third proportional to 819,779,508 and 1,785,114,805.50 is: 3,887,185,319.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,779,508 : 1,785,114,805.50 = 1,785,114,805.50 : x
  2. Step 2: Convert to fraction form
    819,779,508/1,785,114,805.50 = 1,785,114,805.50/x
  3. Step 3: Cross multiply
    819,779,508x = 1,785,114,805.50 × 1,785,114,805.50
  4. Step 4: Simplify right side
    819,779,508x = 3,186,634,868,815,302,656
  5. Step 5: Solve for x
    x = 3,186,634,868,815,302,656/819,779,508
  6. Step 6: Final answer
    x = 3,887,185,319.61

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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.