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Finding the Third Proportional to 613,797,888 and 1,315,145,664

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Solution

The third proportional to 613,797,888 and 1,315,145,664 is: 2,817,878,900.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,797,888 : 1,315,145,664 = 1,315,145,664 : x
  2. Step 2: Convert to fraction form
    613,797,888/1,315,145,664 = 1,315,145,664/x
  3. Step 3: Cross multiply
    613,797,888x = 1,315,145,664 × 1,315,145,664
  4. Step 4: Simplify right side
    613,797,888x = 1,729,608,117,538,000,896
  5. Step 5: Solve for x
    x = 1,729,608,117,538,000,896/613,797,888
  6. Step 6: Final answer
    x = 2,817,878,900.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.