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Finding the Third Proportional to 1,657,577,365,605 and 3,607,033,570,662

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Solution

The third proportional to 1,657,577,365,605 and 3,607,033,570,662 is: 7,849,221,067,961.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657,577,365,605 : 3,607,033,570,662 = 3,607,033,570,662 : x
  2. Step 2: Convert to fraction form
    1,657,577,365,605/3,607,033,570,662 = 3,607,033,570,662/x
  3. Step 3: Cross multiply
    1,657,577,365,605x = 3,607,033,570,662 × 3,607,033,570,662
  4. Step 4: Simplify right side
    1,657,577,365,605x = 13,010,691,179,882,656,967,950,336
  5. Step 5: Solve for x
    x = 13,010,691,179,882,656,967,950,336/1,657,577,365,605
  6. Step 6: Final answer
    x = 7,849,221,067,961.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.