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Finding the Third Proportional to 7,162,989.47 and 15,460,335.84

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Solution

The third proportional to 7,162,989.47 and 15,460,335.84 is: 33,369,026.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162,989.47 : 15,460,335.84 = 15,460,335.84 : x
  2. Step 2: Convert to fraction form
    7,162,989.47/15,460,335.84 = 15,460,335.84/x
  3. Step 3: Cross multiply
    7,162,989.47x = 15,460,335.84 × 15,460,335.84
  4. Step 4: Simplify right side
    7,162,989.47x = 239,021,984,401,541.03
  5. Step 5: Solve for x
    x = 239,021,984,401,541.03/7,162,989.47
  6. Step 6: Final answer
    x = 33,369,026.36

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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.