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Finding the Third Proportional to 690,866,742 and 1,061,366,413.50

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Solution

The third proportional to 690,866,742 and 1,061,366,413.50 is: 1,630,558,536.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,866,742 : 1,061,366,413.50 = 1,061,366,413.50 : x
  2. Step 2: Convert to fraction form
    690,866,742/1,061,366,413.50 = 1,061,366,413.50/x
  3. Step 3: Cross multiply
    690,866,742x = 1,061,366,413.50 × 1,061,366,413.50
  4. Step 4: Simplify right side
    690,866,742x = 1,126,498,663,705,852,928
  5. Step 5: Solve for x
    x = 1,126,498,663,705,852,928/690,866,742
  6. Step 6: Final answer
    x = 1,630,558,536.43

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.