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Finding the Third Proportional to 908,612,222 and 1,976,421,643

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Solution

The third proportional to 908,612,222 and 1,976,421,643 is: 4,299,130,494.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,612,222 : 1,976,421,643 = 1,976,421,643 : x
  2. Step 2: Convert to fraction form
    908,612,222/1,976,421,643 = 1,976,421,643/x
  3. Step 3: Cross multiply
    908,612,222x = 1,976,421,643 × 1,976,421,643
  4. Step 4: Simplify right side
    908,612,222x = 3,906,242,510,918,819,328
  5. Step 5: Solve for x
    x = 3,906,242,510,918,819,328/908,612,222
  6. Step 6: Final answer
    x = 4,299,130,494.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.