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Finding the Third Proportional to 605,804,977.13 and 1,326,530,840.63

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Solution

The third proportional to 605,804,977.13 and 1,326,530,840.63 is: 2,904,703,885.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,804,977.13 : 1,326,530,840.63 = 1,326,530,840.63 : x
  2. Step 2: Convert to fraction form
    605,804,977.13/1,326,530,840.63 = 1,326,530,840.63/x
  3. Step 3: Cross multiply
    605,804,977.13x = 1,326,530,840.63 × 1,326,530,840.63
  4. Step 4: Simplify right side
    605,804,977.13x = 1,759,684,071,129,269,248
  5. Step 5: Solve for x
    x = 1,759,684,071,129,269,248/605,804,977.13
  6. Step 6: Final answer
    x = 2,904,703,885.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.