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Finding the Third Proportional to 9,075,072 and 14,058,774

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Solution

The third proportional to 9,075,072 and 14,058,774 is: 21,779,345.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,075,072 : 14,058,774 = 14,058,774 : x
  2. Step 2: Convert to fraction form
    9,075,072/14,058,774 = 14,058,774/x
  3. Step 3: Cross multiply
    9,075,072x = 14,058,774 × 14,058,774
  4. Step 4: Simplify right side
    9,075,072x = 197,649,126,383,076
  5. Step 5: Solve for x
    x = 197,649,126,383,076/9,075,072
  6. Step 6: Final answer
    x = 21,779,345.26

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Why These Related Problems?

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