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Finding the Third Proportional to 8,964,138.53 and 19,600,460.68

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Solution

The third proportional to 8,964,138.53 and 19,600,460.68 is: 42,857,220.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,964,138.53 : 19,600,460.68 = 19,600,460.68 : x
  2. Step 2: Convert to fraction form
    8,964,138.53/19,600,460.68 = 19,600,460.68/x
  3. Step 3: Cross multiply
    8,964,138.53x = 19,600,460.68 × 19,600,460.68
  4. Step 4: Simplify right side
    8,964,138.53x = 384,178,059,009,114.19
  5. Step 5: Solve for x
    x = 384,178,059,009,114.19/8,964,138.53
  6. Step 6: Final answer
    x = 42,857,220.20

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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.