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Finding the Third Proportional to 220,845,506 and 478,496,466

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Solution

The third proportional to 220,845,506 and 478,496,466 is: 1,036,737,727.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,845,506 : 478,496,466 = 478,496,466 : x
  2. Step 2: Convert to fraction form
    220,845,506/478,496,466 = 478,496,466/x
  3. Step 3: Cross multiply
    220,845,506x = 478,496,466 × 478,496,466
  4. Step 4: Simplify right side
    220,845,506x = 228,958,867,974,489,152
  5. Step 5: Solve for x
    x = 228,958,867,974,489,152/220,845,506
  6. Step 6: Final answer
    x = 1,036,737,727.30

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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.