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Finding the Third Proportional to 307,006,726 and 667,804,080

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Solution

The third proportional to 307,006,726 and 667,804,080 is: 1,452,614,068.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,006,726 : 667,804,080 = 667,804,080 : x
  2. Step 2: Convert to fraction form
    307,006,726/667,804,080 = 667,804,080/x
  3. Step 3: Cross multiply
    307,006,726x = 667,804,080 × 667,804,080
  4. Step 4: Simplify right side
    307,006,726x = 445,962,289,264,646,400
  5. Step 5: Solve for x
    x = 445,962,289,264,646,400/307,006,726
  6. Step 6: Final answer
    x = 1,452,614,068.35

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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.