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Finding the Third Proportional to 7,097,038 and 10,633,750

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Solution

The third proportional to 7,097,038 and 10,633,750 is: 15,932,934.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097,038 : 10,633,750 = 10,633,750 : x
  2. Step 2: Convert to fraction form
    7,097,038/10,633,750 = 10,633,750/x
  3. Step 3: Cross multiply
    7,097,038x = 10,633,750 × 10,633,750
  4. Step 4: Simplify right side
    7,097,038x = 113,076,639,062,500
  5. Step 5: Solve for x
    x = 113,076,639,062,500/7,097,038
  6. Step 6: Final answer
    x = 15,932,934.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.