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Finding the Third Proportional to 9,075,038 and 14,058,733

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Solution

The third proportional to 9,075,038 and 14,058,733 is: 21,779,299.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,075,038 : 14,058,733 = 14,058,733 : x
  2. Step 2: Convert to fraction form
    9,075,038/14,058,733 = 14,058,733/x
  3. Step 3: Cross multiply
    9,075,038x = 14,058,733 × 14,058,733
  4. Step 4: Simplify right side
    9,075,038x = 197,647,973,565,289
  5. Step 5: Solve for x
    x = 197,647,973,565,289/9,075,038
  6. Step 6: Final answer
    x = 21,779,299.83

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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.