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Finding the Third Proportional to 934,590,164 and 1,994,270,409

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Solution

The third proportional to 934,590,164 and 1,994,270,409 is: 4,255,463,643.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,590,164 : 1,994,270,409 = 1,994,270,409 : x
  2. Step 2: Convert to fraction form
    934,590,164/1,994,270,409 = 1,994,270,409/x
  3. Step 3: Cross multiply
    934,590,164x = 1,994,270,409 × 1,994,270,409
  4. Step 4: Simplify right side
    934,590,164x = 3,977,114,464,213,027,328
  5. Step 5: Solve for x
    x = 3,977,114,464,213,027,328/934,590,164
  6. Step 6: Final answer
    x = 4,255,463,643.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.