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Finding the Third Proportional to 365,016,152 and 760,226,512

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Solution

The third proportional to 365,016,152 and 760,226,512 is: 1,583,339,110.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,016,152 : 760,226,512 = 760,226,512 : x
  2. Step 2: Convert to fraction form
    365,016,152/760,226,512 = 760,226,512/x
  3. Step 3: Cross multiply
    365,016,152x = 760,226,512 × 760,226,512
  4. Step 4: Simplify right side
    365,016,152x = 577,944,349,547,686,144
  5. Step 5: Solve for x
    x = 577,944,349,547,686,144/365,016,152
  6. Step 6: Final answer
    x = 1,583,339,110.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.