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Finding the Third Proportional to 313,684,056 and 469,282,384.50

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Solution

The third proportional to 313,684,056 and 469,282,384.50 is: 702,062,958.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,684,056 : 469,282,384.50 = 469,282,384.50 : x
  2. Step 2: Convert to fraction form
    313,684,056/469,282,384.50 = 469,282,384.50/x
  3. Step 3: Cross multiply
    313,684,056x = 469,282,384.50 × 469,282,384.50
  4. Step 4: Simplify right side
    313,684,056x = 220,225,956,402,005,856
  5. Step 5: Solve for x
    x = 220,225,956,402,005,856/313,684,056
  6. Step 6: Final answer
    x = 702,062,958.54

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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.