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Finding the Third Proportional to 1,596,828,916 and 3,494,683,486

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Solution

The third proportional to 1,596,828,916 and 3,494,683,486 is: 7,648,166,027.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596,828,916 : 3,494,683,486 = 3,494,683,486 : x
  2. Step 2: Convert to fraction form
    1,596,828,916/3,494,683,486 = 3,494,683,486/x
  3. Step 3: Cross multiply
    1,596,828,916x = 3,494,683,486 × 3,494,683,486
  4. Step 4: Simplify right side
    1,596,828,916x = 12,212,812,667,321,112,576
  5. Step 5: Solve for x
    x = 12,212,812,667,321,112,576/1,596,828,916
  6. Step 6: Final answer
    x = 7,648,166,027.65

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Why These Related Problems?

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