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Finding the Third Proportional to 6,365,960 and 12,407,056

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Solution

The third proportional to 6,365,960 and 12,407,056 is: 24,180,962.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365,960 : 12,407,056 = 12,407,056 : x
  2. Step 2: Convert to fraction form
    6,365,960/12,407,056 = 12,407,056/x
  3. Step 3: Cross multiply
    6,365,960x = 12,407,056 × 12,407,056
  4. Step 4: Simplify right side
    6,365,960x = 153,935,038,587,136
  5. Step 5: Solve for x
    x = 153,935,038,587,136/6,365,960
  6. Step 6: Final answer
    x = 24,180,962.27

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.