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Finding the Third Proportional to 13,264,896 and 28,865,214

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Solution

The third proportional to 13,264,896 and 28,865,214 is: 62,812,447.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,264,896 : 28,865,214 = 28,865,214 : x
  2. Step 2: Convert to fraction form
    13,264,896/28,865,214 = 28,865,214/x
  3. Step 3: Cross multiply
    13,264,896x = 28,865,214 × 28,865,214
  4. Step 4: Simplify right side
    13,264,896x = 833,200,579,265,796
  5. Step 5: Solve for x
    x = 833,200,579,265,796/13,264,896
  6. Step 6: Final answer
    x = 62,812,447.17

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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.