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Finding the Third Proportional to 268,111,936 and 578,548,136

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Solution

The third proportional to 268,111,936 and 578,548,136 is: 1,248,426,126.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,111,936 : 578,548,136 = 578,548,136 : x
  2. Step 2: Convert to fraction form
    268,111,936/578,548,136 = 578,548,136/x
  3. Step 3: Cross multiply
    268,111,936x = 578,548,136 × 578,548,136
  4. Step 4: Simplify right side
    268,111,936x = 334,717,945,669,074,496
  5. Step 5: Solve for x
    x = 334,717,945,669,074,496/268,111,936
  6. Step 6: Final answer
    x = 1,248,426,126.28

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Why These Related Problems?

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