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Finding the Third Proportional to 280,726,882 and 626,001,971

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Solution

The third proportional to 280,726,882 and 626,001,971 is: 1,395,942,080.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,726,882 : 626,001,971 = 626,001,971 : x
  2. Step 2: Convert to fraction form
    280,726,882/626,001,971 = 626,001,971/x
  3. Step 3: Cross multiply
    280,726,882x = 626,001,971 × 626,001,971
  4. Step 4: Simplify right side
    280,726,882x = 391,878,467,695,884,864
  5. Step 5: Solve for x
    x = 391,878,467,695,884,864/280,726,882
  6. Step 6: Final answer
    x = 1,395,942,080.44

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.