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Finding the Third Proportional to 6,635,007,018 and 14,254,681,824

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Solution

The third proportional to 6,635,007,018 and 14,254,681,824 is: 30,624,828,783.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,635,007,018 : 14,254,681,824 = 14,254,681,824 : x
  2. Step 2: Convert to fraction form
    6,635,007,018/14,254,681,824 = 14,254,681,824/x
  3. Step 3: Cross multiply
    6,635,007,018x = 14,254,681,824 × 14,254,681,824
  4. Step 4: Simplify right side
    6,635,007,018x = 203,195,953,903,475,982,336
  5. Step 5: Solve for x
    x = 203,195,953,903,475,982,336/6,635,007,018
  6. Step 6: Final answer
    x = 30,624,828,783.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.