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Finding the Third Proportional to 10,301,809,122 and 22,315,041,108

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Solution

The third proportional to 10,301,809,122 and 22,315,041,108 is: 48,337,243,852.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,301,809,122 : 22,315,041,108 = 22,315,041,108 : x
  2. Step 2: Convert to fraction form
    10,301,809,122/22,315,041,108 = 22,315,041,108/x
  3. Step 3: Cross multiply
    10,301,809,122x = 22,315,041,108 × 22,315,041,108
  4. Step 4: Simplify right side
    10,301,809,122x = 497,961,059,651,729,883,136
  5. Step 5: Solve for x
    x = 497,961,059,651,729,883,136/10,301,809,122
  6. Step 6: Final answer
    x = 48,337,243,852.47

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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.