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Finding the Third Proportional to 807,065,758,674 and 1,778,637,222,560

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Solution

The third proportional to 807,065,758,674 and 1,778,637,222,560 is: 3,919,817,357,477.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,065,758,674 : 1,778,637,222,560 = 1,778,637,222,560 : x
  2. Step 2: Convert to fraction form
    807,065,758,674/1,778,637,222,560 = 1,778,637,222,560/x
  3. Step 3: Cross multiply
    807,065,758,674x = 1,778,637,222,560 × 1,778,637,222,560
  4. Step 4: Simplify right side
    807,065,758,674x = 3,163,550,369,475,950,997,929,984
  5. Step 5: Solve for x
    x = 3,163,550,369,475,950,997,929,984/807,065,758,674
  6. Step 6: Final answer
    x = 3,919,817,357,477.33

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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.