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Finding the Third Proportional to 4,655,689.88 and 7,182,815.63

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Solution

The third proportional to 4,655,689.88 and 7,182,815.63 is: 11,081,674.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655,689.88 : 7,182,815.63 = 7,182,815.63 : x
  2. Step 2: Convert to fraction form
    4,655,689.88/7,182,815.63 = 7,182,815.63/x
  3. Step 3: Cross multiply
    4,655,689.88x = 7,182,815.63 × 7,182,815.63
  4. Step 4: Simplify right side
    4,655,689.88x = 51,592,840,302,744.14
  5. Step 5: Solve for x
    x = 51,592,840,302,744.14/4,655,689.88
  6. Step 6: Final answer
    x = 11,081,674.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.