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Finding the Third Proportional to 38,503,710,846 and 82,306,316,565

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Solution

The third proportional to 38,503,710,846 and 82,306,316,565 is: 175,939,658,740.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,503,710,846 : 82,306,316,565 = 82,306,316,565 : x
  2. Step 2: Convert to fraction form
    38,503,710,846/82,306,316,565 = 82,306,316,565/x
  3. Step 3: Cross multiply
    38,503,710,846x = 82,306,316,565 × 82,306,316,565
  4. Step 4: Simplify right side
    38,503,710,846x = 6,774,329,746,497,993,703,424
  5. Step 5: Solve for x
    x = 6,774,329,746,497,993,703,424/38,503,710,846
  6. Step 6: Final answer
    x = 175,939,658,740.76

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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.