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Finding the Third Proportional to 10,357,563.66 and 15,680,277.42

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Solution

The third proportional to 10,357,563.66 and 15,680,277.42 is: 23,738,314.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357,563.66 : 15,680,277.42 = 15,680,277.42 : x
  2. Step 2: Convert to fraction form
    10,357,563.66/15,680,277.42 = 15,680,277.42/x
  3. Step 3: Cross multiply
    10,357,563.66x = 15,680,277.42 × 15,680,277.42
  4. Step 4: Simplify right side
    10,357,563.66x = 245,871,100,026,962.91
  5. Step 5: Solve for x
    x = 245,871,100,026,962.91/10,357,563.66
  6. Step 6: Final answer
    x = 23,738,314.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.