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Finding the Third Proportional to 292,381,994 and 650,121,916

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Solution

The third proportional to 292,381,994 and 650,121,916 is: 1,445,569,543.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,381,994 : 650,121,916 = 650,121,916 : x
  2. Step 2: Convert to fraction form
    292,381,994/650,121,916 = 650,121,916/x
  3. Step 3: Cross multiply
    292,381,994x = 650,121,916 × 650,121,916
  4. Step 4: Simplify right side
    292,381,994x = 422,658,505,663,511,040
  5. Step 5: Solve for x
    x = 422,658,505,663,511,040/292,381,994
  6. Step 6: Final answer
    x = 1,445,569,543.74

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.