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Finding the Third Proportional to 3,193,880,830 and 6,950,164,508

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Solution

The third proportional to 3,193,880,830 and 6,950,164,508 is: 15,124,166,886.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193,880,830 : 6,950,164,508 = 6,950,164,508 : x
  2. Step 2: Convert to fraction form
    3,193,880,830/6,950,164,508 = 6,950,164,508/x
  3. Step 3: Cross multiply
    3,193,880,830x = 6,950,164,508 × 6,950,164,508
  4. Step 4: Simplify right side
    3,193,880,830x = 48,304,786,688,262,881,280
  5. Step 5: Solve for x
    x = 48,304,786,688,262,881,280/3,193,880,830
  6. Step 6: Final answer
    x = 15,124,166,886.42

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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.