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Finding the Third Proportional to 1,574,311,995.56 and 3,644,628,863.06

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Solution

The third proportional to 1,574,311,995.56 and 3,644,628,863.06 is: 8,437,539,437.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574,311,995.56 : 3,644,628,863.06 = 3,644,628,863.06 : x
  2. Step 2: Convert to fraction form
    1,574,311,995.56/3,644,628,863.06 = 3,644,628,863.06/x
  3. Step 3: Cross multiply
    1,574,311,995.56x = 3,644,628,863.06 × 3,644,628,863.06
  4. Step 4: Simplify right side
    1,574,311,995.56x = 13,283,319,549,468,252,160
  5. Step 5: Solve for x
    x = 13,283,319,549,468,252,160/1,574,311,995.56
  6. Step 6: Final answer
    x = 8,437,539,437.49

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.