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Finding the Third Proportional to 4,690,146.59 and 7,007,610.59

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Solution

The third proportional to 4,690,146.59 and 7,007,610.59 is: 10,470,164.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690,146.59 : 7,007,610.59 = 7,007,610.59 : x
  2. Step 2: Convert to fraction form
    4,690,146.59/7,007,610.59 = 7,007,610.59/x
  3. Step 3: Cross multiply
    4,690,146.59x = 7,007,610.59 × 7,007,610.59
  4. Step 4: Simplify right side
    4,690,146.59x = 49,106,606,124,143.31
  5. Step 5: Solve for x
    x = 49,106,606,124,143.31/4,690,146.59
  6. Step 6: Final answer
    x = 10,470,164.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.