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Finding the Third Proportional to 5,680,352.81 and 12,069,703.69

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Solution

The third proportional to 5,680,352.81 and 12,069,703.69 is: 25,645,897.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,680,352.81 : 12,069,703.69 = 12,069,703.69 : x
  2. Step 2: Convert to fraction form
    5,680,352.81/12,069,703.69 = 12,069,703.69/x
  3. Step 3: Cross multiply
    5,680,352.81x = 12,069,703.69 × 12,069,703.69
  4. Step 4: Simplify right side
    5,680,352.81x = 145,677,747,104,051.09
  5. Step 5: Solve for x
    x = 145,677,747,104,051.09/5,680,352.81
  6. Step 6: Final answer
    x = 25,645,897.70

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.