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Finding the Third Proportional to 6,808,476.38 and 14,692,899.38

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Solution

The third proportional to 6,808,476.38 and 14,692,899.38 is: 31,707,724.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808,476.38 : 14,692,899.38 = 14,692,899.38 : x
  2. Step 2: Convert to fraction form
    6,808,476.38/14,692,899.38 = 14,692,899.38/x
  3. Step 3: Cross multiply
    6,808,476.38x = 14,692,899.38 × 14,692,899.38
  4. Step 4: Simplify right side
    6,808,476.38x = 215,881,292,043,875.38
  5. Step 5: Solve for x
    x = 215,881,292,043,875.38/6,808,476.38
  6. Step 6: Final answer
    x = 31,707,724.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.