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Finding the Third Proportional to 2,258,409,160 and 4,892,015,666

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Solution

The third proportional to 2,258,409,160 and 4,892,015,666 is: 10,596,758,860.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258,409,160 : 4,892,015,666 = 4,892,015,666 : x
  2. Step 2: Convert to fraction form
    2,258,409,160/4,892,015,666 = 4,892,015,666/x
  3. Step 3: Cross multiply
    2,258,409,160x = 4,892,015,666 × 4,892,015,666
  4. Step 4: Simplify right side
    2,258,409,160x = 23,931,817,276,389,425,152
  5. Step 5: Solve for x
    x = 23,931,817,276,389,425,152/2,258,409,160
  6. Step 6: Final answer
    x = 10,596,758,860.29

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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.