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Finding the Third Proportional to 156,876,629,952 and 335,563,597,056

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Solution

The third proportional to 156,876,629,952 and 335,563,597,056 is: 717,780,128,905.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,876,629,952 : 335,563,597,056 = 335,563,597,056 : x
  2. Step 2: Convert to fraction form
    156,876,629,952/335,563,597,056 = 335,563,597,056/x
  3. Step 3: Cross multiply
    156,876,629,952x = 335,563,597,056 × 335,563,597,056
  4. Step 4: Simplify right side
    156,876,629,952x = 112,602,927,669,161,526,034,432
  5. Step 5: Solve for x
    x = 112,602,927,669,161,526,034,432/156,876,629,952
  6. Step 6: Final answer
    x = 717,780,128,905.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.