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Finding the Third Proportional to 9,606,786 and 20,919,307.50

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Solution

The third proportional to 9,606,786 and 20,919,307.50 is: 45,552,948.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606,786 : 20,919,307.50 = 20,919,307.50 : x
  2. Step 2: Convert to fraction form
    9,606,786/20,919,307.50 = 20,919,307.50/x
  3. Step 3: Cross multiply
    9,606,786x = 20,919,307.50 × 20,919,307.50
  4. Step 4: Simplify right side
    9,606,786x = 437,617,426,279,556.25
  5. Step 5: Solve for x
    x = 437,617,426,279,556.25/9,606,786
  6. Step 6: Final answer
    x = 45,552,948.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.