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Finding the Third Proportional to 9,696,780.21 and 14,461,081.88

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Solution

The third proportional to 9,696,780.21 and 14,461,081.88 is: 21,566,219.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696,780.21 : 14,461,081.88 = 14,461,081.88 : x
  2. Step 2: Convert to fraction form
    9,696,780.21/14,461,081.88 = 14,461,081.88/x
  3. Step 3: Cross multiply
    9,696,780.21x = 14,461,081.88 × 14,461,081.88
  4. Step 4: Simplify right side
    9,696,780.21x = 209,122,888,995,453.50
  5. Step 5: Solve for x
    x = 209,122,888,995,453.50/9,696,780.21
  6. Step 6: Final answer
    x = 21,566,219.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.