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Finding the Third Proportional to 466,799,536 and 1,015,796,576

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Solution

The third proportional to 466,799,536 and 1,015,796,576 is: 2,210,462,102.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,799,536 : 1,015,796,576 = 1,015,796,576 : x
  2. Step 2: Convert to fraction form
    466,799,536/1,015,796,576 = 1,015,796,576/x
  3. Step 3: Cross multiply
    466,799,536x = 1,015,796,576 × 1,015,796,576
  4. Step 4: Simplify right side
    466,799,536x = 1,031,842,683,813,323,776
  5. Step 5: Solve for x
    x = 1,031,842,683,813,323,776/466,799,536
  6. Step 6: Final answer
    x = 2,210,462,102.54

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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.