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Finding the Third Proportional to 34,065,683,800 and 74,553,248,176

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Solution

The third proportional to 34,065,683,800 and 74,553,248,176 is: 163,160,876,095.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,065,683,800 : 74,553,248,176 = 74,553,248,176 : x
  2. Step 2: Convert to fraction form
    34,065,683,800/74,553,248,176 = 74,553,248,176/x
  3. Step 3: Cross multiply
    34,065,683,800x = 74,553,248,176 × 74,553,248,176
  4. Step 4: Simplify right side
    34,065,683,800x = 5,558,186,813,592,246,943,744
  5. Step 5: Solve for x
    x = 5,558,186,813,592,246,943,744/34,065,683,800
  6. Step 6: Final answer
    x = 163,160,876,095.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.