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Finding the Third Proportional to 74,277,502,041 and 163,147,019,460

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Solution

The third proportional to 74,277,502,041 and 163,147,019,460 is: 358,344,710,407.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,277,502,041 : 163,147,019,460 = 163,147,019,460 : x
  2. Step 2: Convert to fraction form
    74,277,502,041/163,147,019,460 = 163,147,019,460/x
  3. Step 3: Cross multiply
    74,277,502,041x = 163,147,019,460 × 163,147,019,460
  4. Step 4: Simplify right side
    74,277,502,041x = 26,616,949,958,681,617,760,256
  5. Step 5: Solve for x
    x = 26,616,949,958,681,617,760,256/74,277,502,041
  6. Step 6: Final answer
    x = 358,344,710,407.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.