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Finding the Third Proportional to 2,587,150 and 5,627,316

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Solution

The third proportional to 2,587,150 and 5,627,316 is: 12,239,988.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587,150 : 5,627,316 = 5,627,316 : x
  2. Step 2: Convert to fraction form
    2,587,150/5,627,316 = 5,627,316/x
  3. Step 3: Cross multiply
    2,587,150x = 5,627,316 × 5,627,316
  4. Step 4: Simplify right side
    2,587,150x = 31,666,685,363,856
  5. Step 5: Solve for x
    x = 31,666,685,363,856/2,587,150
  6. Step 6: Final answer
    x = 12,239,988.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.