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Finding the Third Proportional to 207,634,346 and 448,097,836

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Solution

The third proportional to 207,634,346 and 448,097,836 is: 967,044,588.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,634,346 : 448,097,836 = 448,097,836 : x
  2. Step 2: Convert to fraction form
    207,634,346/448,097,836 = 448,097,836/x
  3. Step 3: Cross multiply
    207,634,346x = 448,097,836 × 448,097,836
  4. Step 4: Simplify right side
    207,634,346x = 200,791,670,627,882,880
  5. Step 5: Solve for x
    x = 200,791,670,627,882,880/207,634,346
  6. Step 6: Final answer
    x = 967,044,588.22

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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.