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Finding the Third Proportional to 3,547,437 and 7,781,590.50

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Solution

The third proportional to 3,547,437 and 7,781,590.50 is: 17,069,549.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547,437 : 7,781,590.50 = 7,781,590.50 : x
  2. Step 2: Convert to fraction form
    3,547,437/7,781,590.50 = 7,781,590.50/x
  3. Step 3: Cross multiply
    3,547,437x = 7,781,590.50 × 7,781,590.50
  4. Step 4: Simplify right side
    3,547,437x = 60,553,150,709,690.25
  5. Step 5: Solve for x
    x = 60,553,150,709,690.25/3,547,437
  6. Step 6: Final answer
    x = 17,069,549.29

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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.