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Finding the Third Proportional to 51,892,602.75 and 72,993,484.13

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Solution

The third proportional to 51,892,602.75 and 72,993,484.13 is: 102,674,532.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,892,602.75 : 72,993,484.13 = 72,993,484.13 : x
  2. Step 2: Convert to fraction form
    51,892,602.75/72,993,484.13 = 72,993,484.13/x
  3. Step 3: Cross multiply
    51,892,602.75x = 72,993,484.13 × 72,993,484.13
  4. Step 4: Simplify right side
    51,892,602.75x = 5,328,048,724,706,627
  5. Step 5: Solve for x
    x = 5,328,048,724,706,627/51,892,602.75
  6. Step 6: Final answer
    x = 102,674,532.44

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.