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Finding the Third Proportional to 974,419,365 and 2,299,530,789

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Solution

The third proportional to 974,419,365 and 2,299,530,789 is: 5,426,659,238.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,419,365 : 2,299,530,789 = 2,299,530,789 : x
  2. Step 2: Convert to fraction form
    974,419,365/2,299,530,789 = 2,299,530,789/x
  3. Step 3: Cross multiply
    974,419,365x = 2,299,530,789 × 2,299,530,789
  4. Step 4: Simplify right side
    974,419,365x = 5,287,841,849,558,962,176
  5. Step 5: Solve for x
    x = 5,287,841,849,558,962,176/974,419,365
  6. Step 6: Final answer
    x = 5,426,659,238.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.