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Finding the Third Proportional to 5,752,254 and 12,312,513

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Solution

The third proportional to 5,752,254 and 12,312,513 is: 26,354,534.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752,254 : 12,312,513 = 12,312,513 : x
  2. Step 2: Convert to fraction form
    5,752,254/12,312,513 = 12,312,513/x
  3. Step 3: Cross multiply
    5,752,254x = 12,312,513 × 12,312,513
  4. Step 4: Simplify right side
    5,752,254x = 151,597,976,375,169
  5. Step 5: Solve for x
    x = 151,597,976,375,169/5,752,254
  6. Step 6: Final answer
    x = 26,354,534.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.