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Finding the Third Proportional to 3,001,483,776 and 6,613,609,920

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Solution

The third proportional to 3,001,483,776 and 6,613,609,920 is: 14,572,737,831.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001,483,776 : 6,613,609,920 = 6,613,609,920 : x
  2. Step 2: Convert to fraction form
    3,001,483,776/6,613,609,920 = 6,613,609,920/x
  3. Step 3: Cross multiply
    3,001,483,776x = 6,613,609,920 × 6,613,609,920
  4. Step 4: Simplify right side
    3,001,483,776x = 43,739,836,173,922,402,304
  5. Step 5: Solve for x
    x = 43,739,836,173,922,402,304/3,001,483,776
  6. Step 6: Final answer
    x = 14,572,737,831.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.