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Finding the Third Proportional to 78,592,890,424 and 170,956,068,416

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Solution

The third proportional to 78,592,890,424 and 170,956,068,416 is: 371,865,408,824.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,592,890,424 : 170,956,068,416 = 170,956,068,416 : x
  2. Step 2: Convert to fraction form
    78,592,890,424/170,956,068,416 = 170,956,068,416/x
  3. Step 3: Cross multiply
    78,592,890,424x = 170,956,068,416 × 170,956,068,416
  4. Step 4: Simplify right side
    78,592,890,424x = 29,225,977,328,256,073,859,072
  5. Step 5: Solve for x
    x = 29,225,977,328,256,073,859,072/78,592,890,424
  6. Step 6: Final answer
    x = 371,865,408,824.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.