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Finding the Third Proportional to 16,377,791,314 and 35,365,312,232

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Solution

The third proportional to 16,377,791,314 and 35,365,312,232 is: 76,365,932,700.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,377,791,314 : 35,365,312,232 = 35,365,312,232 : x
  2. Step 2: Convert to fraction form
    16,377,791,314/35,365,312,232 = 35,365,312,232/x
  3. Step 3: Cross multiply
    16,377,791,314x = 35,365,312,232 × 35,365,312,232
  4. Step 4: Simplify right side
    16,377,791,314x = 1,250,705,309,266,848,776,192
  5. Step 5: Solve for x
    x = 1,250,705,309,266,848,776,192/16,377,791,314
  6. Step 6: Final answer
    x = 76,365,932,700.44

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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.