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Finding the Third Proportional to 3,547,430.44 and 7,781,578.88

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Solution

The third proportional to 3,547,430.44 and 7,781,578.88 is: 17,069,529.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547,430.44 : 7,781,578.88 = 7,781,578.88 : x
  2. Step 2: Convert to fraction form
    3,547,430.44/7,781,578.88 = 7,781,578.88/x
  3. Step 3: Cross multiply
    3,547,430.44x = 7,781,578.88 × 7,781,578.88
  4. Step 4: Simplify right side
    3,547,430.44x = 60,552,969,787,846.27
  5. Step 5: Solve for x
    x = 60,552,969,787,846.27/3,547,430.44
  6. Step 6: Final answer
    x = 17,069,529.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.