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Finding the Third Proportional to 5,059,948.50 and 7,826,382

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Solution

The third proportional to 5,059,948.50 and 7,826,382 is: 12,105,311.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,059,948.50 : 7,826,382 = 7,826,382 : x
  2. Step 2: Convert to fraction form
    5,059,948.50/7,826,382 = 7,826,382/x
  3. Step 3: Cross multiply
    5,059,948.50x = 7,826,382 × 7,826,382
  4. Step 4: Simplify right side
    5,059,948.50x = 61,252,255,209,924
  5. Step 5: Solve for x
    x = 61,252,255,209,924/5,059,948.50
  6. Step 6: Final answer
    x = 12,105,311.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.