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Finding the Third Proportional to 27,239,720,242.50 and 38,342,813,242.50

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Solution

The third proportional to 27,239,720,242.50 and 38,342,813,242.50 is: 53,971,601,553.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,239,720,242.50 : 38,342,813,242.50 = 38,342,813,242.50 : x
  2. Step 2: Convert to fraction form
    27,239,720,242.50/38,342,813,242.50 = 38,342,813,242.50/x
  3. Step 3: Cross multiply
    27,239,720,242.50x = 38,342,813,242.50 × 38,342,813,242.50
  4. Step 4: Simplify right side
    27,239,720,242.50x = 1,470,171,327,349,233,287,168
  5. Step 5: Solve for x
    x = 1,470,171,327,349,233,287,168/27,239,720,242.50
  6. Step 6: Final answer
    x = 53,971,601,553.21

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1.5x scale

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.