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Finding the Third Proportional to 10,849,471.59 and 23,208,965.44

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Solution

The third proportional to 10,849,471.59 and 23,208,965.44 is: 49,648,139.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,849,471.59 : 23,208,965.44 = 23,208,965.44 : x
  2. Step 2: Convert to fraction form
    10,849,471.59/23,208,965.44 = 23,208,965.44/x
  3. Step 3: Cross multiply
    10,849,471.59x = 23,208,965.44 × 23,208,965.44
  4. Step 4: Simplify right side
    10,849,471.59x = 538,656,076,679,069.56
  5. Step 5: Solve for x
    x = 538,656,076,679,069.56/10,849,471.59
  6. Step 6: Final answer
    x = 49,648,139.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.