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Finding the Third Proportional to 1,570,440,680 and 2,325,338,980

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Solution

The third proportional to 1,570,440,680 and 2,325,338,980 is: 3,443,110,867.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570,440,680 : 2,325,338,980 = 2,325,338,980 : x
  2. Step 2: Convert to fraction form
    1,570,440,680/2,325,338,980 = 2,325,338,980/x
  3. Step 3: Cross multiply
    1,570,440,680x = 2,325,338,980 × 2,325,338,980
  4. Step 4: Simplify right side
    1,570,440,680x = 5,407,201,371,907,440,640
  5. Step 5: Solve for x
    x = 5,407,201,371,907,440,640/1,570,440,680
  6. Step 6: Final answer
    x = 3,443,110,867.40

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.