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Finding the Third Proportional to 301,912,642 and 658,480,060

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Solution

The third proportional to 301,912,642 and 658,480,060 is: 1,436,163,741.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,912,642 : 658,480,060 = 658,480,060 : x
  2. Step 2: Convert to fraction form
    301,912,642/658,480,060 = 658,480,060/x
  3. Step 3: Cross multiply
    301,912,642x = 658,480,060 × 658,480,060
  4. Step 4: Simplify right side
    301,912,642x = 433,595,989,417,603,584
  5. Step 5: Solve for x
    x = 433,595,989,417,603,584/301,912,642
  6. Step 6: Final answer
    x = 1,436,163,741.09

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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.