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Finding the Third Proportional to 5,845,387 and 12,808,214

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Solution

The third proportional to 5,845,387 and 12,808,214 is: 28,064,924.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,845,387 : 12,808,214 = 12,808,214 : x
  2. Step 2: Convert to fraction form
    5,845,387/12,808,214 = 12,808,214/x
  3. Step 3: Cross multiply
    5,845,387x = 12,808,214 × 12,808,214
  4. Step 4: Simplify right side
    5,845,387x = 164,050,345,869,796
  5. Step 5: Solve for x
    x = 164,050,345,869,796/5,845,387
  6. Step 6: Final answer
    x = 28,064,924.68

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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.