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Finding the Third Proportional to 1,982,651,492 and 2,999,518,584

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Solution

The third proportional to 1,982,651,492 and 2,999,518,584 is: 4,537,918,929.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982,651,492 : 2,999,518,584 = 2,999,518,584 : x
  2. Step 2: Convert to fraction form
    1,982,651,492/2,999,518,584 = 2,999,518,584/x
  3. Step 3: Cross multiply
    1,982,651,492x = 2,999,518,584 × 2,999,518,584
  4. Step 4: Simplify right side
    1,982,651,492x = 8,997,111,735,761,364,992
  5. Step 5: Solve for x
    x = 8,997,111,735,761,364,992/1,982,651,492
  6. Step 6: Final answer
    x = 4,537,918,929.30

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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.