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Finding the Third Proportional to 62,098,087,862 and 135,076,402,804

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Solution

The third proportional to 62,098,087,862 and 135,076,402,804 is: 293,819,588,052.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,098,087,862 : 135,076,402,804 = 135,076,402,804 : x
  2. Step 2: Convert to fraction form
    62,098,087,862/135,076,402,804 = 135,076,402,804/x
  3. Step 3: Cross multiply
    62,098,087,862x = 135,076,402,804 × 135,076,402,804
  4. Step 4: Simplify right side
    62,098,087,862x = 18,245,634,594,468,458,921,984
  5. Step 5: Solve for x
    x = 18,245,634,594,468,458,921,984/62,098,087,862
  6. Step 6: Final answer
    x = 293,819,588,052.62

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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.