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Finding the Third Proportional to 9,868,738 and 14,803,058

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Solution

The third proportional to 9,868,738 and 14,803,058 is: 22,204,513.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,868,738 : 14,803,058 = 14,803,058 : x
  2. Step 2: Convert to fraction form
    9,868,738/14,803,058 = 14,803,058/x
  3. Step 3: Cross multiply
    9,868,738x = 14,803,058 × 14,803,058
  4. Step 4: Simplify right side
    9,868,738x = 219,130,526,151,364
  5. Step 5: Solve for x
    x = 219,130,526,151,364/9,868,738
  6. Step 6: Final answer
    x = 22,204,513.50

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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.