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Finding the Third Proportional to 800,050,023 and 1,202,205,033

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Solution

The third proportional to 800,050,023 and 1,202,205,033 is: 1,806,508,218.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,050,023 : 1,202,205,033 = 1,202,205,033 : x
  2. Step 2: Convert to fraction form
    800,050,023/1,202,205,033 = 1,202,205,033/x
  3. Step 3: Cross multiply
    800,050,023x = 1,202,205,033 × 1,202,205,033
  4. Step 4: Simplify right side
    800,050,023x = 1,445,296,941,370,531,072
  5. Step 5: Solve for x
    x = 1,445,296,941,370,531,072/800,050,023
  6. Step 6: Final answer
    x = 1,806,508,218.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.