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Finding the Third Proportional to 6,498,032.63 and 10,102,436.44

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Solution

The third proportional to 6,498,032.63 and 10,102,436.44 is: 15,706,172.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498,032.63 : 10,102,436.44 = 10,102,436.44 : x
  2. Step 2: Convert to fraction form
    6,498,032.63/10,102,436.44 = 10,102,436.44/x
  3. Step 3: Cross multiply
    6,498,032.63x = 10,102,436.44 × 10,102,436.44
  4. Step 4: Simplify right side
    6,498,032.63x = 102,059,221,973,727.69
  5. Step 5: Solve for x
    x = 102,059,221,973,727.69/6,498,032.63
  6. Step 6: Final answer
    x = 15,706,172.60

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.