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Finding the Third Proportional to 7,618,816.88 and 16,270,900.13

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Solution

The third proportional to 7,618,816.88 and 16,270,900.13 is: 34,748,464.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,618,816.88 : 16,270,900.13 = 16,270,900.13 : x
  2. Step 2: Convert to fraction form
    7,618,816.88/16,270,900.13 = 16,270,900.13/x
  3. Step 3: Cross multiply
    7,618,816.88x = 16,270,900.13 × 16,270,900.13
  4. Step 4: Simplify right side
    7,618,816.88x = 264,742,190,877,725
  5. Step 5: Solve for x
    x = 264,742,190,877,725/7,618,816.88
  6. Step 6: Final answer
    x = 34,748,464.92

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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.