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Finding the Third Proportional to 7,142,634 and 10,730,232

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Solution

The third proportional to 7,142,634 and 10,730,232 is: 16,119,806.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142,634 : 10,730,232 = 10,730,232 : x
  2. Step 2: Convert to fraction form
    7,142,634/10,730,232 = 10,730,232/x
  3. Step 3: Cross multiply
    7,142,634x = 10,730,232 × 10,730,232
  4. Step 4: Simplify right side
    7,142,634x = 115,137,878,773,824
  5. Step 5: Solve for x
    x = 115,137,878,773,824/7,142,634
  6. Step 6: Final answer
    x = 16,119,806.61

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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.