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Finding the Third Proportional to 301,912,640 and 658,480,056

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Solution

The third proportional to 301,912,640 and 658,480,056 is: 1,436,163,733.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,912,640 : 658,480,056 = 658,480,056 : x
  2. Step 2: Convert to fraction form
    301,912,640/658,480,056 = 658,480,056/x
  3. Step 3: Cross multiply
    301,912,640x = 658,480,056 × 658,480,056
  4. Step 4: Simplify right side
    301,912,640x = 433,595,984,149,763,136
  5. Step 5: Solve for x
    x = 433,595,984,149,763,136/301,912,640
  6. Step 6: Final answer
    x = 1,436,163,733.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.