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Finding the Third Proportional to 2,107,566,378,796.40 and 2,843,601,852,226.40

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Solution

The third proportional to 2,107,566,378,796.40 and 2,843,601,852,226.40 is: 3,836,686,509,775.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107,566,378,796.40 : 2,843,601,852,226.40 = 2,843,601,852,226.40 : x
  2. Step 2: Convert to fraction form
    2,107,566,378,796.40/2,843,601,852,226.40 = 2,843,601,852,226.40/x
  3. Step 3: Cross multiply
    2,107,566,378,796.40x = 2,843,601,852,226.40 × 2,843,601,852,226.40
  4. Step 4: Simplify right side
    2,107,566,378,796.40x = 8,086,071,493,985,412,319,281,152
  5. Step 5: Solve for x
    x = 8,086,071,493,985,412,319,281,152/2,107,566,378,796.40
  6. Step 6: Final answer
    x = 3,836,686,509,775.91

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.