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Finding the Third Proportional to 60,845,370,228 and 130,064,302,727

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Solution

The third proportional to 60,845,370,228 and 130,064,302,727 is: 278,028,102,721.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,845,370,228 : 130,064,302,727 = 130,064,302,727 : x
  2. Step 2: Convert to fraction form
    60,845,370,228/130,064,302,727 = 130,064,302,727/x
  3. Step 3: Cross multiply
    60,845,370,228x = 130,064,302,727 × 130,064,302,727
  4. Step 4: Simplify right side
    60,845,370,228x = 16,916,722,843,860,699,447,296
  5. Step 5: Solve for x
    x = 16,916,722,843,860,699,447,296/60,845,370,228
  6. Step 6: Final answer
    x = 278,028,102,721.21

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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.