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Finding the Third Proportional to 6,696,706.50 and 14,535,027

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Solution

The third proportional to 6,696,706.50 and 14,535,027 is: 31,547,897.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696,706.50 : 14,535,027 = 14,535,027 : x
  2. Step 2: Convert to fraction form
    6,696,706.50/14,535,027 = 14,535,027/x
  3. Step 3: Cross multiply
    6,696,706.50x = 14,535,027 × 14,535,027
  4. Step 4: Simplify right side
    6,696,706.50x = 211,267,009,890,729
  5. Step 5: Solve for x
    x = 211,267,009,890,729/6,696,706.50
  6. Step 6: Final answer
    x = 31,547,897.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.