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Finding the Third Proportional to 996,423,266.53 and 2,140,718,952.94

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Solution

The third proportional to 996,423,266.53 and 2,140,718,952.94 is: 4,599,127,488.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,423,266.53 : 2,140,718,952.94 = 2,140,718,952.94 : x
  2. Step 2: Convert to fraction form
    996,423,266.53/2,140,718,952.94 = 2,140,718,952.94/x
  3. Step 3: Cross multiply
    996,423,266.53x = 2,140,718,952.94 × 2,140,718,952.94
  4. Step 4: Simplify right side
    996,423,266.53x = 4,582,677,635,466,253,824
  5. Step 5: Solve for x
    x = 4,582,677,635,466,253,824/996,423,266.53
  6. Step 6: Final answer
    x = 4,599,127,488.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.