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Finding the Third Proportional to 6,438,160 and 9,658,024

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Solution

The third proportional to 6,438,160 and 9,658,024 is: 14,488,212.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438,160 : 9,658,024 = 9,658,024 : x
  2. Step 2: Convert to fraction form
    6,438,160/9,658,024 = 9,658,024/x
  3. Step 3: Cross multiply
    6,438,160x = 9,658,024 × 9,658,024
  4. Step 4: Simplify right side
    6,438,160x = 93,277,427,584,576
  5. Step 5: Solve for x
    x = 93,277,427,584,576/6,438,160
  6. Step 6: Final answer
    x = 14,488,212.10

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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.