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Finding the Third Proportional to 4,712,884.50 and 10,265,550

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Solution

The third proportional to 4,712,884.50 and 10,265,550 is: 22,360,301.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712,884.50 : 10,265,550 = 10,265,550 : x
  2. Step 2: Convert to fraction form
    4,712,884.50/10,265,550 = 10,265,550/x
  3. Step 3: Cross multiply
    4,712,884.50x = 10,265,550 × 10,265,550
  4. Step 4: Simplify right side
    4,712,884.50x = 105,381,516,802,500
  5. Step 5: Solve for x
    x = 105,381,516,802,500/4,712,884.50
  6. Step 6: Final answer
    x = 22,360,301.17

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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.