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Finding the Third Proportional to 613,760,115 and 1,314,580,326

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Solution

The third proportional to 613,760,115 and 1,314,580,326 is: 2,815,630,066.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,760,115 : 1,314,580,326 = 1,314,580,326 : x
  2. Step 2: Convert to fraction form
    613,760,115/1,314,580,326 = 1,314,580,326/x
  3. Step 3: Cross multiply
    613,760,115x = 1,314,580,326 × 1,314,580,326
  4. Step 4: Simplify right side
    613,760,115x = 1,728,121,433,506,266,368
  5. Step 5: Solve for x
    x = 1,728,121,433,506,266,368/613,760,115
  6. Step 6: Final answer
    x = 2,815,630,066.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.