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Finding the Third Proportional to 11,210,983,475 and 15,767,498,164

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Solution

The third proportional to 11,210,983,475 and 15,767,498,164 is: 22,175,931,211.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,210,983,475 : 15,767,498,164 = 15,767,498,164 : x
  2. Step 2: Convert to fraction form
    11,210,983,475/15,767,498,164 = 15,767,498,164/x
  3. Step 3: Cross multiply
    11,210,983,475x = 15,767,498,164 × 15,767,498,164
  4. Step 4: Simplify right side
    11,210,983,475x = 248,613,998,351,743,385,600
  5. Step 5: Solve for x
    x = 248,613,998,351,743,385,600/11,210,983,475
  6. Step 6: Final answer
    x = 22,175,931,211.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.