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Finding the Third Proportional to 307,822,870.69 and 677,209,710.38

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Solution

The third proportional to 307,822,870.69 and 677,209,710.38 is: 1,489,860,031.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,822,870.69 : 677,209,710.38 = 677,209,710.38 : x
  2. Step 2: Convert to fraction form
    307,822,870.69/677,209,710.38 = 677,209,710.38/x
  3. Step 3: Cross multiply
    307,822,870.69x = 677,209,710.38 × 677,209,710.38
  4. Step 4: Simplify right side
    307,822,870.69x = 458,612,991,826,191,360
  5. Step 5: Solve for x
    x = 458,612,991,826,191,360/307,822,870.69
  6. Step 6: Final answer
    x = 1,489,860,031.52

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.