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Finding the Third Proportional to 37,477,011 and 90,283,632

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Solution

The third proportional to 37,477,011 and 90,283,632 is: 217,496,913.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,477,011 : 90,283,632 = 90,283,632 : x
  2. Step 2: Convert to fraction form
    37,477,011/90,283,632 = 90,283,632/x
  3. Step 3: Cross multiply
    37,477,011x = 90,283,632 × 90,283,632
  4. Step 4: Simplify right side
    37,477,011x = 8,151,134,207,111,424
  5. Step 5: Solve for x
    x = 8,151,134,207,111,424/37,477,011
  6. Step 6: Final answer
    x = 217,496,913.16

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.