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Finding the Third Proportional to 612,068,967 and 1,328,055,402

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Solution

The third proportional to 612,068,967 and 1,328,055,402 is: 2,881,588,915.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,068,967 : 1,328,055,402 = 1,328,055,402 : x
  2. Step 2: Convert to fraction form
    612,068,967/1,328,055,402 = 1,328,055,402/x
  3. Step 3: Cross multiply
    612,068,967x = 1,328,055,402 × 1,328,055,402
  4. Step 4: Simplify right side
    612,068,967x = 1,763,731,150,781,381,632
  5. Step 5: Solve for x
    x = 1,763,731,150,781,381,632/612,068,967
  6. Step 6: Final answer
    x = 2,881,588,915.42

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