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Finding the Third Proportional to 21,347,970,337,792 and 30,062,646,463,144

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Solution

The third proportional to 21,347,970,337,792 and 30,062,646,463,144 is: 42,334,830,809,094.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,347,970,337,792 : 30,062,646,463,144 = 30,062,646,463,144 : x
  2. Step 2: Convert to fraction form
    21,347,970,337,792/30,062,646,463,144 = 30,062,646,463,144/x
  3. Step 3: Cross multiply
    21,347,970,337,792x = 30,062,646,463,144 × 30,062,646,463,144
  4. Step 4: Simplify right side
    21,347,970,337,792x = 903,762,712,367,984,460,896,927,744
  5. Step 5: Solve for x
    x = 903,762,712,367,984,460,896,927,744/21,347,970,337,792
  6. Step 6: Final answer
    x = 42,334,830,809,094.13

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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.