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Finding the Third Proportional to 446,253,984 and 964,213,056

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Solution

The third proportional to 446,253,984 and 964,213,056 is: 2,083,358,021.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,253,984 : 964,213,056 = 964,213,056 : x
  2. Step 2: Convert to fraction form
    446,253,984/964,213,056 = 964,213,056/x
  3. Step 3: Cross multiply
    446,253,984x = 964,213,056 × 964,213,056
  4. Step 4: Simplify right side
    446,253,984x = 929,706,817,360,859,136
  5. Step 5: Solve for x
    x = 929,706,817,360,859,136/446,253,984
  6. Step 6: Final answer
    x = 2,083,358,021.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.