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Finding the Third Proportional to 9,012,031 and 13,963,323

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Solution

The third proportional to 9,012,031 and 13,963,323 is: 21,634,899.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,012,031 : 13,963,323 = 13,963,323 : x
  2. Step 2: Convert to fraction form
    9,012,031/13,963,323 = 13,963,323/x
  3. Step 3: Cross multiply
    9,012,031x = 13,963,323 × 13,963,323
  4. Step 4: Simplify right side
    9,012,031x = 194,974,389,202,329
  5. Step 5: Solve for x
    x = 194,974,389,202,329/9,012,031
  6. Step 6: Final answer
    x = 21,634,899.97

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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.