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Finding the Third Proportional to 2,258,409,156 and 4,892,015,658

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Solution

The third proportional to 2,258,409,156 and 4,892,015,658 is: 10,596,758,844.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258,409,156 : 4,892,015,658 = 4,892,015,658 : x
  2. Step 2: Convert to fraction form
    2,258,409,156/4,892,015,658 = 4,892,015,658/x
  3. Step 3: Cross multiply
    2,258,409,156x = 4,892,015,658 × 4,892,015,658
  4. Step 4: Simplify right side
    2,258,409,156x = 23,931,817,198,117,171,200
  5. Step 5: Solve for x
    x = 23,931,817,198,117,171,200/2,258,409,156
  6. Step 6: Final answer
    x = 10,596,758,844.40

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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.