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Finding the Third Proportional to 31,877,486,001 and 69,760,019,097

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Solution

The third proportional to 31,877,486,001 and 69,760,019,097 is: 152,661,356,804.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,877,486,001 : 69,760,019,097 = 69,760,019,097 : x
  2. Step 2: Convert to fraction form
    31,877,486,001/69,760,019,097 = 69,760,019,097/x
  3. Step 3: Cross multiply
    31,877,486,001x = 69,760,019,097 × 69,760,019,097
  4. Step 4: Simplify right side
    31,877,486,001x = 4,866,460,264,413,804,888,064
  5. Step 5: Solve for x
    x = 4,866,460,264,413,804,888,064/31,877,486,001
  6. Step 6: Final answer
    x = 152,661,356,804.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.