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Finding the Third Proportional to 6,149,088 and 9,064,656

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Solution

The third proportional to 6,149,088 and 9,064,656 is: 13,362,630.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149,088 : 9,064,656 = 9,064,656 : x
  2. Step 2: Convert to fraction form
    6,149,088/9,064,656 = 9,064,656/x
  3. Step 3: Cross multiply
    6,149,088x = 9,064,656 × 9,064,656
  4. Step 4: Simplify right side
    6,149,088x = 82,167,988,398,336
  5. Step 5: Solve for x
    x = 82,167,988,398,336/6,149,088
  6. Step 6: Final answer
    x = 13,362,630.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.