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Finding the Third Proportional to 480,630,432 and 986,740,536

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Solution

The third proportional to 480,630,432 and 986,740,536 is: 2,025,791,170.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,630,432 : 986,740,536 = 986,740,536 : x
  2. Step 2: Convert to fraction form
    480,630,432/986,740,536 = 986,740,536/x
  3. Step 3: Cross multiply
    480,630,432x = 986,740,536 × 986,740,536
  4. Step 4: Simplify right side
    480,630,432x = 973,656,885,385,567,232
  5. Step 5: Solve for x
    x = 973,656,885,385,567,232/480,630,432
  6. Step 6: Final answer
    x = 2,025,791,170.43

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.