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Finding the Third Proportional to 438,820,032.75 and 913,960,941.75

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Solution

The third proportional to 438,820,032.75 and 913,960,941.75 is: 1,903,569,893.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,820,032.75 : 913,960,941.75 = 913,960,941.75 : x
  2. Step 2: Convert to fraction form
    438,820,032.75/913,960,941.75 = 913,960,941.75/x
  3. Step 3: Cross multiply
    438,820,032.75x = 913,960,941.75 × 913,960,941.75
  4. Step 4: Simplify right side
    438,820,032.75x = 835,324,603,044,546,944
  5. Step 5: Solve for x
    x = 835,324,603,044,546,944/438,820,032.75
  6. Step 6: Final answer
    x = 1,903,569,893.58

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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.