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Finding the Third Proportional to 3,172,094,136 and 6,871,386,492

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Solution

The third proportional to 3,172,094,136 and 6,871,386,492 is: 14,884,789,132.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172,094,136 : 6,871,386,492 = 6,871,386,492 : x
  2. Step 2: Convert to fraction form
    3,172,094,136/6,871,386,492 = 6,871,386,492/x
  3. Step 3: Cross multiply
    3,172,094,136x = 6,871,386,492 × 6,871,386,492
  4. Step 4: Simplify right side
    3,172,094,136x = 47,215,952,322,440,069,120
  5. Step 5: Solve for x
    x = 47,215,952,322,440,069,120/3,172,094,136
  6. Step 6: Final answer
    x = 14,884,789,132.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.