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Finding the Third Proportional to 6,451,616,970 and 10,137,447,783

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Solution

The third proportional to 6,451,616,970 and 10,137,447,783 is: 15,929,006,329.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451,616,970 : 10,137,447,783 = 10,137,447,783 : x
  2. Step 2: Convert to fraction form
    6,451,616,970/10,137,447,783 = 10,137,447,783/x
  3. Step 3: Cross multiply
    6,451,616,970x = 10,137,447,783 × 10,137,447,783
  4. Step 4: Simplify right side
    6,451,616,970x = 102,767,847,553,051,607,040
  5. Step 5: Solve for x
    x = 102,767,847,553,051,607,040/6,451,616,970
  6. Step 6: Final answer
    x = 15,929,006,329.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.