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Finding the Third Proportional to 2,190,473,334 and 5,165,698,590

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Solution

The third proportional to 2,190,473,334 and 5,165,698,590 is: 12,182,043,720.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190,473,334 : 5,165,698,590 = 5,165,698,590 : x
  2. Step 2: Convert to fraction form
    2,190,473,334/5,165,698,590 = 5,165,698,590/x
  3. Step 3: Cross multiply
    2,190,473,334x = 5,165,698,590 × 5,165,698,590
  4. Step 4: Simplify right side
    2,190,473,334x = 26,684,441,922,727,989,248
  5. Step 5: Solve for x
    x = 26,684,441,922,727,989,248/2,190,473,334
  6. Step 6: Final answer
    x = 12,182,043,720.20

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.