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Finding the Third Proportional to 7,103,460 and 15,343,620

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Solution

The third proportional to 7,103,460 and 15,343,620 is: 33,142,535.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103,460 : 15,343,620 = 15,343,620 : x
  2. Step 2: Convert to fraction form
    7,103,460/15,343,620 = 15,343,620/x
  3. Step 3: Cross multiply
    7,103,460x = 15,343,620 × 15,343,620
  4. Step 4: Simplify right side
    7,103,460x = 235,426,674,704,400
  5. Step 5: Solve for x
    x = 235,426,674,704,400/7,103,460
  6. Step 6: Final answer
    x = 33,142,535.43

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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.