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Finding the Third Proportional to 2,698,022,104 and 6,016,406,572

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Solution

The third proportional to 2,698,022,104 and 6,016,406,572 is: 13,416,179,202.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698,022,104 : 6,016,406,572 = 6,016,406,572 : x
  2. Step 2: Convert to fraction form
    2,698,022,104/6,016,406,572 = 6,016,406,572/x
  3. Step 3: Cross multiply
    2,698,022,104x = 6,016,406,572 × 6,016,406,572
  4. Step 4: Simplify right side
    2,698,022,104x = 36,197,148,039,604,789,248
  5. Step 5: Solve for x
    x = 36,197,148,039,604,789,248/2,698,022,104
  6. Step 6: Final answer
    x = 13,416,179,202.51

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.