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Finding the Third Proportional to 3,547,500.75 and 7,781,733

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Solution

The third proportional to 3,547,500.75 and 7,781,733 is: 17,069,867.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547,500.75 : 7,781,733 = 7,781,733 : x
  2. Step 2: Convert to fraction form
    3,547,500.75/7,781,733 = 7,781,733/x
  3. Step 3: Cross multiply
    3,547,500.75x = 7,781,733 × 7,781,733
  4. Step 4: Simplify right side
    3,547,500.75x = 60,555,368,483,289
  5. Step 5: Solve for x
    x = 60,555,368,483,289/3,547,500.75
  6. Step 6: Final answer
    x = 17,069,867.70

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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.