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Finding the Third Proportional to 10,798,449.19 and 23,617,116.84

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Solution

The third proportional to 10,798,449.19 and 23,617,116.84 is: 51,652,621.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,798,449.19 : 23,617,116.84 = 23,617,116.84 : x
  2. Step 2: Convert to fraction form
    10,798,449.19/23,617,116.84 = 23,617,116.84/x
  3. Step 3: Cross multiply
    10,798,449.19x = 23,617,116.84 × 23,617,116.84
  4. Step 4: Simplify right side
    10,798,449.19x = 557,768,208,011,339.94
  5. Step 5: Solve for x
    x = 557,768,208,011,339.94/10,798,449.19
  6. Step 6: Final answer
    x = 51,652,621.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.