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Finding the Third Proportional to 61,801,953,410 and 132,546,032,884

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Solution

The third proportional to 61,801,953,410 and 132,546,032,884 is: 284,270,154,322.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,801,953,410 : 132,546,032,884 = 132,546,032,884 : x
  2. Step 2: Convert to fraction form
    61,801,953,410/132,546,032,884 = 132,546,032,884/x
  3. Step 3: Cross multiply
    61,801,953,410x = 132,546,032,884 × 132,546,032,884
  4. Step 4: Simplify right side
    61,801,953,410x = 17,568,450,833,286,409,748,480
  5. Step 5: Solve for x
    x = 17,568,450,833,286,409,748,480/61,801,953,410
  6. Step 6: Final answer
    x = 284,270,154,322.40

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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.