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Finding the Third Proportional to 454,866,033 and 665,240,413.50

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Solution

The third proportional to 454,866,033 and 665,240,413.50 is: 972,912,408.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,866,033 : 665,240,413.50 = 665,240,413.50 : x
  2. Step 2: Convert to fraction form
    454,866,033/665,240,413.50 = 665,240,413.50/x
  3. Step 3: Cross multiply
    454,866,033x = 665,240,413.50 × 665,240,413.50
  4. Step 4: Simplify right side
    454,866,033x = 442,544,807,753,651,008
  5. Step 5: Solve for x
    x = 442,544,807,753,651,008/454,866,033
  6. Step 6: Final answer
    x = 972,912,408.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.