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Finding the Third Proportional to 2,258,409,154 and 4,892,015,654

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Solution

The third proportional to 2,258,409,154 and 4,892,015,654 is: 10,596,758,836.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258,409,154 : 4,892,015,654 = 4,892,015,654 : x
  2. Step 2: Convert to fraction form
    2,258,409,154/4,892,015,654 = 4,892,015,654/x
  3. Step 3: Cross multiply
    2,258,409,154x = 4,892,015,654 × 4,892,015,654
  4. Step 4: Simplify right side
    2,258,409,154x = 23,931,817,158,981,046,272
  5. Step 5: Solve for x
    x = 23,931,817,158,981,046,272/2,258,409,154
  6. Step 6: Final answer
    x = 10,596,758,836.46

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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.