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Finding the Third Proportional to 61,801,953,412 and 132,546,032,888

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Solution

The third proportional to 61,801,953,412 and 132,546,032,888 is: 284,270,154,330.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,801,953,412 : 132,546,032,888 = 132,546,032,888 : x
  2. Step 2: Convert to fraction form
    61,801,953,412/132,546,032,888 = 132,546,032,888/x
  3. Step 3: Cross multiply
    61,801,953,412x = 132,546,032,888 × 132,546,032,888
  4. Step 4: Simplify right side
    61,801,953,412x = 17,568,450,834,346,778,034,176
  5. Step 5: Solve for x
    x = 17,568,450,834,346,778,034,176/61,801,953,412
  6. Step 6: Final answer
    x = 284,270,154,330.36

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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.