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Finding the Third Proportional to 4,354,107,430.50 and 6,723,646,413.75

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Solution

The third proportional to 4,354,107,430.50 and 6,723,646,413.75 is: 10,382,706,862.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,354,107,430.50 : 6,723,646,413.75 = 6,723,646,413.75 : x
  2. Step 2: Convert to fraction form
    4,354,107,430.50/6,723,646,413.75 = 6,723,646,413.75/x
  3. Step 3: Cross multiply
    4,354,107,430.50x = 6,723,646,413.75 × 6,723,646,413.75
  4. Step 4: Simplify right side
    4,354,107,430.50x = 45,207,421,097,133,236,224
  5. Step 5: Solve for x
    x = 45,207,421,097,133,236,224/4,354,107,430.50
  6. Step 6: Final answer
    x = 10,382,706,862.14

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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.