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Finding the Third Proportional to 986,443,596 and 2,146,541,553

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Solution

The third proportional to 986,443,596 and 2,146,541,553 is: 4,670,962,087.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,443,596 : 2,146,541,553 = 2,146,541,553 : x
  2. Step 2: Convert to fraction form
    986,443,596/2,146,541,553 = 2,146,541,553/x
  3. Step 3: Cross multiply
    986,443,596x = 2,146,541,553 × 2,146,541,553
  4. Step 4: Simplify right side
    986,443,596x = 4,607,640,638,755,651,584
  5. Step 5: Solve for x
    x = 4,607,640,638,755,651,584/986,443,596
  6. Step 6: Final answer
    x = 4,670,962,087.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.