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Finding the Third Proportional to 10,657,509.19 and 23,440,782.38

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Solution

The third proportional to 10,657,509.19 and 23,440,782.38 is: 51,557,101.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657,509.19 : 23,440,782.38 = 23,440,782.38 : x
  2. Step 2: Convert to fraction form
    10,657,509.19/23,440,782.38 = 23,440,782.38/x
  3. Step 3: Cross multiply
    10,657,509.19x = 23,440,782.38 × 23,440,782.38
  4. Step 4: Simplify right side
    10,657,509.19x = 549,470,278,352,110.62
  5. Step 5: Solve for x
    x = 549,470,278,352,110.62/10,657,509.19
  6. Step 6: Final answer
    x = 51,557,101.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.