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Finding the Third Proportional to 23,036,398,574 and 34,403,642,367

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Solution

The third proportional to 23,036,398,574 and 34,403,642,367 is: 51,380,019,507.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,036,398,574 : 34,403,642,367 = 34,403,642,367 : x
  2. Step 2: Convert to fraction form
    23,036,398,574/34,403,642,367 = 34,403,642,367/x
  3. Step 3: Cross multiply
    23,036,398,574x = 34,403,642,367 × 34,403,642,367
  4. Step 4: Simplify right side
    23,036,398,574x = 1,183,610,608,116,437,352,448
  5. Step 5: Solve for x
    x = 1,183,610,608,116,437,352,448/23,036,398,574
  6. Step 6: Final answer
    x = 51,380,019,507.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.