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Finding the Third Proportional to 59,984,168,600 and 128,995,748,322

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Solution

The third proportional to 59,984,168,600 and 128,995,748,322 is: 277,404,913,221.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,984,168,600 : 128,995,748,322 = 128,995,748,322 : x
  2. Step 2: Convert to fraction form
    59,984,168,600/128,995,748,322 = 128,995,748,322/x
  3. Step 3: Cross multiply
    59,984,168,600x = 128,995,748,322 × 128,995,748,322
  4. Step 4: Simplify right side
    59,984,168,600x = 16,639,903,085,152,765,476,864
  5. Step 5: Solve for x
    x = 16,639,903,085,152,765,476,864/59,984,168,600
  6. Step 6: Final answer
    x = 277,404,913,221.60

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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.