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Finding the Third Proportional to 3,547,532.25 and 7,781,796

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Solution

The third proportional to 3,547,532.25 and 7,781,796 is: 17,069,992.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547,532.25 : 7,781,796 = 7,781,796 : x
  2. Step 2: Convert to fraction form
    3,547,532.25/7,781,796 = 7,781,796/x
  3. Step 3: Cross multiply
    3,547,532.25x = 7,781,796 × 7,781,796
  4. Step 4: Simplify right side
    3,547,532.25x = 60,556,348,985,616
  5. Step 5: Solve for x
    x = 60,556,348,985,616/3,547,532.25
  6. Step 6: Final answer
    x = 17,069,992.52

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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.