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Finding the Third Proportional to 10,661,296.81 and 15,592,103.63

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Solution

The third proportional to 10,661,296.81 and 15,592,103.63 is: 22,803,388.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,661,296.81 : 15,592,103.63 = 15,592,103.63 : x
  2. Step 2: Convert to fraction form
    10,661,296.81/15,592,103.63 = 15,592,103.63/x
  3. Step 3: Cross multiply
    10,661,296.81x = 15,592,103.63 × 15,592,103.63
  4. Step 4: Simplify right side
    10,661,296.81x = 243,113,695,452,738.12
  5. Step 5: Solve for x
    x = 243,113,695,452,738.12/10,661,296.81
  6. Step 6: Final answer
    x = 22,803,388.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.