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Finding the Third Proportional to 5,097,276.84 and 7,719,948.84

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Solution

The third proportional to 5,097,276.84 and 7,719,948.84 is: 11,692,048.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097,276.84 : 7,719,948.84 = 7,719,948.84 : x
  2. Step 2: Convert to fraction form
    5,097,276.84/7,719,948.84 = 7,719,948.84/x
  3. Step 3: Cross multiply
    5,097,276.84x = 7,719,948.84 × 7,719,948.84
  4. Step 4: Simplify right side
    5,097,276.84x = 59,597,610,150,116.96
  5. Step 5: Solve for x
    x = 59,597,610,150,116.96/5,097,276.84
  6. Step 6: Final answer
    x = 11,692,048.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.