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Finding the Third Proportional to 474,761,752 and 1,012,233,056

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Solution

The third proportional to 474,761,752 and 1,012,233,056 is: 2,158,168,292.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,761,752 : 1,012,233,056 = 1,012,233,056 : x
  2. Step 2: Convert to fraction form
    474,761,752/1,012,233,056 = 1,012,233,056/x
  3. Step 3: Cross multiply
    474,761,752x = 1,012,233,056 × 1,012,233,056
  4. Step 4: Simplify right side
    474,761,752x = 1,024,615,759,659,099,136
  5. Step 5: Solve for x
    x = 1,024,615,759,659,099,136/474,761,752
  6. Step 6: Final answer
    x = 2,158,168,292.50

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.