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Finding the Third Proportional to 365,637,624.75 and 790,913,099.25

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Solution

The third proportional to 365,637,624.75 and 790,913,099.25 is: 1,710,829,215.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,637,624.75 : 790,913,099.25 = 790,913,099.25 : x
  2. Step 2: Convert to fraction form
    365,637,624.75/790,913,099.25 = 790,913,099.25/x
  3. Step 3: Cross multiply
    365,637,624.75x = 790,913,099.25 × 790,913,099.25
  4. Step 4: Simplify right side
    365,637,624.75x = 625,543,530,565,240,320
  5. Step 5: Solve for x
    x = 625,543,530,565,240,320/365,637,624.75
  6. Step 6: Final answer
    x = 1,710,829,215.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.