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Finding the Third Proportional to 38,503,710,868 and 82,306,316,609

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Solution

The third proportional to 38,503,710,868 and 82,306,316,609 is: 175,939,658,828.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,503,710,868 : 82,306,316,609 = 82,306,316,609 : x
  2. Step 2: Convert to fraction form
    38,503,710,868/82,306,316,609 = 82,306,316,609/x
  3. Step 3: Cross multiply
    38,503,710,868x = 82,306,316,609 × 82,306,316,609
  4. Step 4: Simplify right side
    38,503,710,868x = 6,774,329,753,740,949,585,920
  5. Step 5: Solve for x
    x = 6,774,329,753,740,949,585,920/38,503,710,868
  6. Step 6: Final answer
    x = 175,939,658,828.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.