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Finding the Third Proportional to 2,570,878,314 and 3,620,363,178

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Solution

The third proportional to 2,570,878,314 and 3,620,363,178 is: 5,098,269,128.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570,878,314 : 3,620,363,178 = 3,620,363,178 : x
  2. Step 2: Convert to fraction form
    2,570,878,314/3,620,363,178 = 3,620,363,178/x
  3. Step 3: Cross multiply
    2,570,878,314x = 3,620,363,178 × 3,620,363,178
  4. Step 4: Simplify right side
    2,570,878,314x = 13,107,029,540,618,260,480
  5. Step 5: Solve for x
    x = 13,107,029,540,618,260,480/2,570,878,314
  6. Step 6: Final answer
    x = 5,098,269,128.20

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.