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Finding the Third Proportional to 6,160,575,492 and 13,450,062,564

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Solution

The third proportional to 6,160,575,492 and 13,450,062,564 is: 29,364,818,791.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,160,575,492 : 13,450,062,564 = 13,450,062,564 : x
  2. Step 2: Convert to fraction form
    6,160,575,492/13,450,062,564 = 13,450,062,564/x
  3. Step 3: Cross multiply
    6,160,575,492x = 13,450,062,564 × 13,450,062,564
  4. Step 4: Simplify right side
    6,160,575,492x = 180,904,182,975,514,247,168
  5. Step 5: Solve for x
    x = 180,904,182,975,514,247,168/6,160,575,492
  6. Step 6: Final answer
    x = 29,364,818,791.76

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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.