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Finding the Third Proportional to 310,447,618 and 477,180,233

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Solution

The third proportional to 310,447,618 and 477,180,233 is: 733,460,208.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,447,618 : 477,180,233 = 477,180,233 : x
  2. Step 2: Convert to fraction form
    310,447,618/477,180,233 = 477,180,233/x
  3. Step 3: Cross multiply
    310,447,618x = 477,180,233 × 477,180,233
  4. Step 4: Simplify right side
    310,447,618x = 227,700,974,765,934,304
  5. Step 5: Solve for x
    x = 227,700,974,765,934,304/310,447,618
  6. Step 6: Final answer
    x = 733,460,208.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.