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Finding the Third Proportional to 62,098,087,863 and 135,076,402,806

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Solution

The third proportional to 62,098,087,863 and 135,076,402,806 is: 293,819,588,056.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,098,087,863 : 135,076,402,806 = 135,076,402,806 : x
  2. Step 2: Convert to fraction form
    62,098,087,863/135,076,402,806 = 135,076,402,806/x
  3. Step 3: Cross multiply
    62,098,087,863x = 135,076,402,806 × 135,076,402,806
  4. Step 4: Simplify right side
    62,098,087,863x = 18,245,634,595,008,764,968,960
  5. Step 5: Solve for x
    x = 18,245,634,595,008,764,968,960/62,098,087,863
  6. Step 6: Final answer
    x = 293,819,588,056.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.