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Finding the Third Proportional to 6,547,079 and 15,433,283.50

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Solution

The third proportional to 6,547,079 and 15,433,283.50 is: 36,380,535.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547,079 : 15,433,283.50 = 15,433,283.50 : x
  2. Step 2: Convert to fraction form
    6,547,079/15,433,283.50 = 15,433,283.50/x
  3. Step 3: Cross multiply
    6,547,079x = 15,433,283.50 × 15,433,283.50
  4. Step 4: Simplify right side
    6,547,079x = 238,186,239,591,372.25
  5. Step 5: Solve for x
    x = 238,186,239,591,372.25/6,547,079
  6. Step 6: Final answer
    x = 36,380,535.44

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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.