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Finding the Third Proportional to 31,397,033,475 and 48,259,406,007

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Solution

The third proportional to 31,397,033,475 and 48,259,406,007 is: 74,178,035,641.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,397,033,475 : 48,259,406,007 = 48,259,406,007 : x
  2. Step 2: Convert to fraction form
    31,397,033,475/48,259,406,007 = 48,259,406,007/x
  3. Step 3: Cross multiply
    31,397,033,475x = 48,259,406,007 × 48,259,406,007
  4. Step 4: Simplify right side
    31,397,033,475x = 2,328,970,268,148,467,761,152
  5. Step 5: Solve for x
    x = 2,328,970,268,148,467,761,152/31,397,033,475
  6. Step 6: Final answer
    x = 74,178,035,641.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.