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Finding the Third Proportional to 2,310,215,402 and 5,043,772,768

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Solution

The third proportional to 2,310,215,402 and 5,043,772,768 is: 11,011,805,961.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310,215,402 : 5,043,772,768 = 5,043,772,768 : x
  2. Step 2: Convert to fraction form
    2,310,215,402/5,043,772,768 = 5,043,772,768/x
  3. Step 3: Cross multiply
    2,310,215,402x = 5,043,772,768 × 5,043,772,768
  4. Step 4: Simplify right side
    2,310,215,402x = 25,439,643,735,218,380,800
  5. Step 5: Solve for x
    x = 25,439,643,735,218,380,800/2,310,215,402
  6. Step 6: Final answer
    x = 11,011,805,961.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.