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Finding the Third Proportional to 895,235,940 and 1,926,520,816.50

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Solution

The third proportional to 895,235,940 and 1,926,520,816.50 is: 4,145,814,852.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    895,235,940 : 1,926,520,816.50 = 1,926,520,816.50 : x
  2. Step 2: Convert to fraction form
    895,235,940/1,926,520,816.50 = 1,926,520,816.50/x
  3. Step 3: Cross multiply
    895,235,940x = 1,926,520,816.50 × 1,926,520,816.50
  4. Step 4: Simplify right side
    895,235,940x = 3,711,482,456,407,826,432
  5. Step 5: Solve for x
    x = 3,711,482,456,407,826,432/895,235,940
  6. Step 6: Final answer
    x = 4,145,814,852.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.