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Finding the Third Proportional to 4,723,209 and 9,782,487

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Solution

The third proportional to 4,723,209 and 9,782,487 is: 20,261,024.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723,209 : 9,782,487 = 9,782,487 : x
  2. Step 2: Convert to fraction form
    4,723,209/9,782,487 = 9,782,487/x
  3. Step 3: Cross multiply
    4,723,209x = 9,782,487 × 9,782,487
  4. Step 4: Simplify right side
    4,723,209x = 95,697,051,905,169
  5. Step 5: Solve for x
    x = 95,697,051,905,169/4,723,209
  6. Step 6: Final answer
    x = 20,261,024.21

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.