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Finding the Third Proportional to 313,331,550,136 and 470,328,964,072

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Solution

The third proportional to 313,331,550,136 and 470,328,964,072 is: 705,991,255,425.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,331,550,136 : 470,328,964,072 = 470,328,964,072 : x
  2. Step 2: Convert to fraction form
    313,331,550,136/470,328,964,072 = 470,328,964,072/x
  3. Step 3: Cross multiply
    313,331,550,136x = 470,328,964,072 × 470,328,964,072
  4. Step 4: Simplify right side
    313,331,550,136x = 221,209,334,445,040,656,711,680
  5. Step 5: Solve for x
    x = 221,209,334,445,040,656,711,680/313,331,550,136
  6. Step 6: Final answer
    x = 705,991,255,425.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.