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Finding the Third Proportional to 1,982,651,487 and 2,999,518,578

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Solution

The third proportional to 1,982,651,487 and 2,999,518,578 is: 4,537,918,922.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982,651,487 : 2,999,518,578 = 2,999,518,578 : x
  2. Step 2: Convert to fraction form
    1,982,651,487/2,999,518,578 = 2,999,518,578/x
  3. Step 3: Cross multiply
    1,982,651,487x = 2,999,518,578 × 2,999,518,578
  4. Step 4: Simplify right side
    1,982,651,487x = 8,997,111,699,767,142,400
  5. Step 5: Solve for x
    x = 8,997,111,699,767,142,400/1,982,651,487
  6. Step 6: Final answer
    x = 4,537,918,922.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.