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Finding the Third Proportional to 10,485,599.63 and 14,166,695.25

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Solution

The third proportional to 10,485,599.63 and 14,166,695.25 is: 19,140,083.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485,599.63 : 14,166,695.25 = 14,166,695.25 : x
  2. Step 2: Convert to fraction form
    10,485,599.63/14,166,695.25 = 14,166,695.25/x
  3. Step 3: Cross multiply
    10,485,599.63x = 14,166,695.25 × 14,166,695.25
  4. Step 4: Simplify right side
    10,485,599.63x = 200,695,254,306,372.56
  5. Step 5: Solve for x
    x = 200,695,254,306,372.56/10,485,599.63
  6. Step 6: Final answer
    x = 19,140,083.68

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.