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Finding the Third Proportional to 1,517,603,190 and 3,513,032,604

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Solution

The third proportional to 1,517,603,190 and 3,513,032,604 is: 8,132,164,032.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517,603,190 : 3,513,032,604 = 3,513,032,604 : x
  2. Step 2: Convert to fraction form
    1,517,603,190/3,513,032,604 = 3,513,032,604/x
  3. Step 3: Cross multiply
    1,517,603,190x = 3,513,032,604 × 3,513,032,604
  4. Step 4: Simplify right side
    1,517,603,190x = 12,341,398,076,767,021,056
  5. Step 5: Solve for x
    x = 12,341,398,076,767,021,056/1,517,603,190
  6. Step 6: Final answer
    x = 8,132,164,032.13

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.