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Finding the Third Proportional to 7,571,984 and 16,421,536

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Solution

The third proportional to 7,571,984 and 16,421,536 is: 35,613,763.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,571,984 : 16,421,536 = 16,421,536 : x
  2. Step 2: Convert to fraction form
    7,571,984/16,421,536 = 16,421,536/x
  3. Step 3: Cross multiply
    7,571,984x = 16,421,536 × 16,421,536
  4. Step 4: Simplify right side
    7,571,984x = 269,666,844,599,296
  5. Step 5: Solve for x
    x = 269,666,844,599,296/7,571,984
  6. Step 6: Final answer
    x = 35,613,763.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.