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Finding the Third Proportional to 62,098,087,860 and 135,076,402,800

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Solution

The third proportional to 62,098,087,860 and 135,076,402,800 is: 293,819,588,044.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,098,087,860 : 135,076,402,800 = 135,076,402,800 : x
  2. Step 2: Convert to fraction form
    62,098,087,860/135,076,402,800 = 135,076,402,800/x
  3. Step 3: Cross multiply
    62,098,087,860x = 135,076,402,800 × 135,076,402,800
  4. Step 4: Simplify right side
    62,098,087,860x = 18,245,634,593,387,846,828,032
  5. Step 5: Solve for x
    x = 18,245,634,593,387,846,828,032/62,098,087,860
  6. Step 6: Final answer
    x = 293,819,588,044.69

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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.