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Finding the Third Proportional to 74,277,498,678 and 163,147,013,466

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Solution

The third proportional to 74,277,498,678 and 163,147,013,466 is: 358,344,700,300.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,277,498,678 : 163,147,013,466 = 163,147,013,466 : x
  2. Step 2: Convert to fraction form
    74,277,498,678/163,147,013,466 = 163,147,013,466/x
  3. Step 3: Cross multiply
    74,277,498,678x = 163,147,013,466 × 163,147,013,466
  4. Step 4: Simplify right side
    74,277,498,678x = 26,616,948,002,875,183,726,592
  5. Step 5: Solve for x
    x = 26,616,948,002,875,183,726,592/74,277,498,678
  6. Step 6: Final answer
    x = 358,344,700,300.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.