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Finding the Third Proportional to 1,197,657,102 and 2,621,086,962

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Solution

The third proportional to 1,197,657,102 and 2,621,086,962 is: 5,736,280,318.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,657,102 : 2,621,086,962 = 2,621,086,962 : x
  2. Step 2: Convert to fraction form
    1,197,657,102/2,621,086,962 = 2,621,086,962/x
  3. Step 3: Cross multiply
    1,197,657,102x = 2,621,086,962 × 2,621,086,962
  4. Step 4: Simplify right side
    1,197,657,102x = 6,870,096,862,366,389,248
  5. Step 5: Solve for x
    x = 6,870,096,862,366,389,248/1,197,657,102
  6. Step 6: Final answer
    x = 5,736,280,318.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.