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Finding the Third Proportional to 612,068,967 and 1,328,055,408

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Solution

The third proportional to 612,068,967 and 1,328,055,408 is: 2,881,588,941.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,068,967 : 1,328,055,408 = 1,328,055,408 : x
  2. Step 2: Convert to fraction form
    612,068,967/1,328,055,408 = 1,328,055,408/x
  3. Step 3: Cross multiply
    612,068,967x = 1,328,055,408 × 1,328,055,408
  4. Step 4: Simplify right side
    612,068,967x = 1,763,731,166,718,046,464
  5. Step 5: Solve for x
    x = 1,763,731,166,718,046,464/612,068,967
  6. Step 6: Final answer
    x = 2,881,588,941.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.