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Finding the Third Proportional to 374,160,285,061 and 768,155,896,843

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Solution

The third proportional to 374,160,285,061 and 768,155,896,843 is: 1,577,033,975,582.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,160,285,061 : 768,155,896,843 = 768,155,896,843 : x
  2. Step 2: Convert to fraction form
    374,160,285,061/768,155,896,843 = 768,155,896,843/x
  3. Step 3: Cross multiply
    374,160,285,061x = 768,155,896,843 × 768,155,896,843
  4. Step 4: Simplify right side
    374,160,285,061x = 590,063,481,854,673,672,994,816
  5. Step 5: Solve for x
    x = 590,063,481,854,673,672,994,816/374,160,285,061
  6. Step 6: Final answer
    x = 1,577,033,975,582.08

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.