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Finding the Third Proportional to 10,301,809,128 and 22,315,041,120

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Solution

The third proportional to 10,301,809,128 and 22,315,041,120 is: 48,337,243,876.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,301,809,128 : 22,315,041,120 = 22,315,041,120 : x
  2. Step 2: Convert to fraction form
    10,301,809,128/22,315,041,120 = 22,315,041,120/x
  3. Step 3: Cross multiply
    10,301,809,128x = 22,315,041,120 × 22,315,041,120
  4. Step 4: Simplify right side
    10,301,809,128x = 497,961,060,187,290,861,568
  5. Step 5: Solve for x
    x = 497,961,060,187,290,861,568/10,301,809,128
  6. Step 6: Final answer
    x = 48,337,243,876.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.