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Finding the Third Proportional to 10,827,737.44 and 24,076,377.56

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Solution

The third proportional to 10,827,737.44 and 24,076,377.56 is: 53,535,834.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,827,737.44 : 24,076,377.56 = 24,076,377.56 : x
  2. Step 2: Convert to fraction form
    10,827,737.44/24,076,377.56 = 24,076,377.56/x
  3. Step 3: Cross multiply
    10,827,737.44x = 24,076,377.56 × 24,076,377.56
  4. Step 4: Simplify right side
    10,827,737.44x = 579,671,956,532,053.50
  5. Step 5: Solve for x
    x = 579,671,956,532,053.50/10,827,737.44
  6. Step 6: Final answer
    x = 53,535,834.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.