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Finding the Third Proportional to 4,868,146.83 and 7,708,585.85

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Solution

The third proportional to 4,868,146.83 and 7,708,585.85 is: 12,206,348.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,868,146.83 : 7,708,585.85 = 7,708,585.85 : x
  2. Step 2: Convert to fraction form
    4,868,146.83/7,708,585.85 = 7,708,585.85/x
  3. Step 3: Cross multiply
    4,868,146.83x = 7,708,585.85 × 7,708,585.85
  4. Step 4: Simplify right side
    4,868,146.83x = 59,422,295,830,909.55
  5. Step 5: Solve for x
    x = 59,422,295,830,909.55/4,868,146.83
  6. Step 6: Final answer
    x = 12,206,348.31

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.