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Finding the Third Proportional to 59,984,172,764 and 128,995,756,644

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Solution

The third proportional to 59,984,172,764 and 128,995,756,644 is: 277,404,929,757.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,984,172,764 : 128,995,756,644 = 128,995,756,644 : x
  2. Step 2: Convert to fraction form
    59,984,172,764/128,995,756,644 = 128,995,756,644/x
  3. Step 3: Cross multiply
    59,984,172,764x = 128,995,756,644 × 128,995,756,644
  4. Step 4: Simplify right side
    59,984,172,764x = 16,639,905,232,158,069,882,880
  5. Step 5: Solve for x
    x = 16,639,905,232,158,069,882,880/59,984,172,764
  6. Step 6: Final answer
    x = 277,404,929,757.48

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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.