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Finding the Third Proportional to 497,478,131,136 and 1,074,226,105,728

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Solution

The third proportional to 497,478,131,136 and 1,074,226,105,728 is: 2,319,623,022,608.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,478,131,136 : 1,074,226,105,728 = 1,074,226,105,728 : x
  2. Step 2: Convert to fraction form
    497,478,131,136/1,074,226,105,728 = 1,074,226,105,728/x
  3. Step 3: Cross multiply
    497,478,131,136x = 1,074,226,105,728 × 1,074,226,105,728
  4. Step 4: Simplify right side
    497,478,131,136x = 1,153,961,726,227,544,281,186,304
  5. Step 5: Solve for x
    x = 1,153,961,726,227,544,281,186,304/497,478,131,136
  6. Step 6: Final answer
    x = 2,319,623,022,608.96

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.