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Finding the Third Proportional to 3,145,461,248 and 4,883,928,234

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Solution

The third proportional to 3,145,461,248 and 4,883,928,234 is: 7,583,229,648.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145,461,248 : 4,883,928,234 = 4,883,928,234 : x
  2. Step 2: Convert to fraction form
    3,145,461,248/4,883,928,234 = 4,883,928,234/x
  3. Step 3: Cross multiply
    3,145,461,248x = 4,883,928,234 × 4,883,928,234
  4. Step 4: Simplify right side
    3,145,461,248x = 23,852,754,994,862,358,528
  5. Step 5: Solve for x
    x = 23,852,754,994,862,358,528/3,145,461,248
  6. Step 6: Final answer
    x = 7,583,229,648.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.