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Finding the Third Proportional to 782,122,996 and 1,698,767,084

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Solution

The third proportional to 782,122,996 and 1,698,767,084 is: 3,689,713,280.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,122,996 : 1,698,767,084 = 1,698,767,084 : x
  2. Step 2: Convert to fraction form
    782,122,996/1,698,767,084 = 1,698,767,084/x
  3. Step 3: Cross multiply
    782,122,996x = 1,698,767,084 × 1,698,767,084
  4. Step 4: Simplify right side
    782,122,996x = 2,885,809,605,681,863,168
  5. Step 5: Solve for x
    x = 2,885,809,605,681,863,168/782,122,996
  6. Step 6: Final answer
    x = 3,689,713,280.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.