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Finding the Third Proportional to 580,202,681.06 and 1,252,288,400.63

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Solution

The third proportional to 580,202,681.06 and 1,252,288,400.63 is: 2,702,893,815.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,202,681.06 : 1,252,288,400.63 = 1,252,288,400.63 : x
  2. Step 2: Convert to fraction form
    580,202,681.06/1,252,288,400.63 = 1,252,288,400.63/x
  3. Step 3: Cross multiply
    580,202,681.06x = 1,252,288,400.63 × 1,252,288,400.63
  4. Step 4: Simplify right side
    580,202,681.06x = 1,568,226,238,339,920,384
  5. Step 5: Solve for x
    x = 1,568,226,238,339,920,384/580,202,681.06
  6. Step 6: Final answer
    x = 2,702,893,815.43

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.