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Finding the Third Proportional to 374,346,416 and 807,882,016

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Solution

The third proportional to 374,346,416 and 807,882,016 is: 1,743,501,003.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,346,416 : 807,882,016 = 807,882,016 : x
  2. Step 2: Convert to fraction form
    374,346,416/807,882,016 = 807,882,016/x
  3. Step 3: Cross multiply
    374,346,416x = 807,882,016 × 807,882,016
  4. Step 4: Simplify right side
    374,346,416x = 652,673,351,776,224,256
  5. Step 5: Solve for x
    x = 652,673,351,776,224,256/374,346,416
  6. Step 6: Final answer
    x = 1,743,501,003.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.