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Finding the Third Proportional to 34,544,999,975.50 and 53,074,574,482

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Solution

The third proportional to 34,544,999,975.50 and 53,074,574,482 is: 81,543,217,786.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,544,999,975.50 : 53,074,574,482 = 53,074,574,482 : x
  2. Step 2: Convert to fraction form
    34,544,999,975.50/53,074,574,482 = 53,074,574,482/x
  3. Step 3: Cross multiply
    34,544,999,975.50x = 53,074,574,482 × 53,074,574,482
  4. Step 4: Simplify right side
    34,544,999,975.50x = 2,816,910,456,445,365,387,264
  5. Step 5: Solve for x
    x = 2,816,910,456,445,365,387,264/34,544,999,975.50
  6. Step 6: Final answer
    x = 81,543,217,786.75

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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.