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Finding the Third Proportional to 473,024,480 and 1,011,420,492

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Solution

The third proportional to 473,024,480 and 1,011,420,492 is: 2,162,618,331.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,024,480 : 1,011,420,492 = 1,011,420,492 : x
  2. Step 2: Convert to fraction form
    473,024,480/1,011,420,492 = 1,011,420,492/x
  3. Step 3: Cross multiply
    473,024,480x = 1,011,420,492 × 1,011,420,492
  4. Step 4: Simplify right side
    473,024,480x = 1,022,971,411,637,522,048
  5. Step 5: Solve for x
    x = 1,022,971,411,637,522,048/473,024,480
  6. Step 6: Final answer
    x = 2,162,618,331.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.