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Finding the Third Proportional to 60,917,901,004 and 133,603,716,584

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Solution

The third proportional to 60,917,901,004 and 133,603,716,584 is: 293,016,548,352.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,917,901,004 : 133,603,716,584 = 133,603,716,584 : x
  2. Step 2: Convert to fraction form
    60,917,901,004/133,603,716,584 = 133,603,716,584/x
  3. Step 3: Cross multiply
    60,917,901,004x = 133,603,716,584 × 133,603,716,584
  4. Step 4: Simplify right side
    60,917,901,004x = 17,849,953,085,057,797,193,728
  5. Step 5: Solve for x
    x = 17,849,953,085,057,797,193,728/60,917,901,004
  6. Step 6: Final answer
    x = 293,016,548,352.28

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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.