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Finding the Third Proportional to 2,684,369,936,883 and 5,888,447,717,802

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Solution

The third proportional to 2,684,369,936,883 and 5,888,447,717,802 is: 12,916,929,238,728.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684,369,936,883 : 5,888,447,717,802 = 5,888,447,717,802 : x
  2. Step 2: Convert to fraction form
    2,684,369,936,883/5,888,447,717,802 = 5,888,447,717,802/x
  3. Step 3: Cross multiply
    2,684,369,936,883x = 5,888,447,717,802 × 5,888,447,717,802
  4. Step 4: Simplify right side
    2,684,369,936,883x = 34,673,816,525,287,581,909,254,144
  5. Step 5: Solve for x
    x = 34,673,816,525,287,581,909,254,144/2,684,369,936,883
  6. Step 6: Final answer
    x = 12,916,929,238,728.42

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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.