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Finding the Third Proportional to 4,859,240,994 and 7,257,019,257

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Solution

The third proportional to 4,859,240,994 and 7,257,019,257 is: 10,837,974,194.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,859,240,994 : 7,257,019,257 = 7,257,019,257 : x
  2. Step 2: Convert to fraction form
    4,859,240,994/7,257,019,257 = 7,257,019,257/x
  3. Step 3: Cross multiply
    4,859,240,994x = 7,257,019,257 × 7,257,019,257
  4. Step 4: Simplify right side
    4,859,240,994x = 52,664,328,496,468,828,160
  5. Step 5: Solve for x
    x = 52,664,328,496,468,828,160/4,859,240,994
  6. Step 6: Final answer
    x = 10,837,974,194.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.