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Finding the Third Proportional to 1,448,684,484 and 3,138,037,156.50

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Solution

The third proportional to 1,448,684,484 and 3,138,037,156.50 is: 6,797,392,602.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448,684,484 : 3,138,037,156.50 = 3,138,037,156.50 : x
  2. Step 2: Convert to fraction form
    1,448,684,484/3,138,037,156.50 = 3,138,037,156.50/x
  3. Step 3: Cross multiply
    1,448,684,484x = 3,138,037,156.50 × 3,138,037,156.50
  4. Step 4: Simplify right side
    1,448,684,484x = 9,847,277,195,574,605,824
  5. Step 5: Solve for x
    x = 9,847,277,195,574,605,824/1,448,684,484
  6. Step 6: Final answer
    x = 6,797,392,602.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.