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Finding the Third Proportional to 3,593,416,981,078 and 7,990,270,717,430

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Solution

The third proportional to 3,593,416,981,078 and 7,990,270,717,430 is: 17,767,051,938,032.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,593,416,981,078 : 7,990,270,717,430 = 7,990,270,717,430 : x
  2. Step 2: Convert to fraction form
    3,593,416,981,078/7,990,270,717,430 = 7,990,270,717,430/x
  3. Step 3: Cross multiply
    3,593,416,981,078x = 7,990,270,717,430 × 7,990,270,717,430
  4. Step 4: Simplify right side
    3,593,416,981,078x = 63,844,426,137,819,328,075,005,952
  5. Step 5: Solve for x
    x = 63,844,426,137,819,328,075,005,952/3,593,416,981,078
  6. Step 6: Final answer
    x = 17,767,051,938,032.10

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.