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Finding the Third Proportional to 6,513,663.94 and 13,921,856.44

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Solution

The third proportional to 6,513,663.94 and 13,921,856.44 is: 29,755,616.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513,663.94 : 13,921,856.44 = 13,921,856.44 : x
  2. Step 2: Convert to fraction form
    6,513,663.94/13,921,856.44 = 13,921,856.44/x
  3. Step 3: Cross multiply
    6,513,663.94x = 13,921,856.44 × 13,921,856.44
  4. Step 4: Simplify right side
    6,513,663.94x = 193,818,086,666,360.19
  5. Step 5: Solve for x
    x = 193,818,086,666,360.19/6,513,663.94
  6. Step 6: Final answer
    x = 29,755,616.58

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.