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Finding the Third Proportional to 1,259,617,344 and 2,748,461,472

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Solution

The third proportional to 1,259,617,344 and 2,748,461,472 is: 5,997,091,496.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259,617,344 : 2,748,461,472 = 2,748,461,472 : x
  2. Step 2: Convert to fraction form
    1,259,617,344/2,748,461,472 = 2,748,461,472/x
  3. Step 3: Cross multiply
    1,259,617,344x = 2,748,461,472 × 2,748,461,472
  4. Step 4: Simplify right side
    1,259,617,344x = 7,554,040,463,068,406,784
  5. Step 5: Solve for x
    x = 7,554,040,463,068,406,784/1,259,617,344
  6. Step 6: Final answer
    x = 5,997,091,496.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.