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Finding the Third Proportional to 94,785,127,408 and 197,415,564,084

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Solution

The third proportional to 94,785,127,408 and 197,415,564,084 is: 411,171,098,339.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,785,127,408 : 197,415,564,084 = 197,415,564,084 : x
  2. Step 2: Convert to fraction form
    94,785,127,408/197,415,564,084 = 197,415,564,084/x
  3. Step 3: Cross multiply
    94,785,127,408x = 197,415,564,084 × 197,415,564,084
  4. Step 4: Simplify right side
    94,785,127,408x = 38,972,904,942,603,908,153,344
  5. Step 5: Solve for x
    x = 38,972,904,942,603,908,153,344/94,785,127,408
  6. Step 6: Final answer
    x = 411,171,098,339.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.