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Finding the Third Proportional to 1,596,828,920 and 3,494,683,494

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Solution

The third proportional to 1,596,828,920 and 3,494,683,494 is: 7,648,166,043.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596,828,920 : 3,494,683,494 = 3,494,683,494 : x
  2. Step 2: Convert to fraction form
    1,596,828,920/3,494,683,494 = 3,494,683,494/x
  3. Step 3: Cross multiply
    1,596,828,920x = 3,494,683,494 × 3,494,683,494
  4. Step 4: Simplify right side
    1,596,828,920x = 12,212,812,723,236,048,896
  5. Step 5: Solve for x
    x = 12,212,812,723,236,048,896/1,596,828,920
  6. Step 6: Final answer
    x = 7,648,166,043.51

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.