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Finding the Third Proportional to 2,143,480,846 and 4,597,101,985

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Solution

The third proportional to 2,143,480,846 and 4,597,101,985 is: 9,859,358,762.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143,480,846 : 4,597,101,985 = 4,597,101,985 : x
  2. Step 2: Convert to fraction form
    2,143,480,846/4,597,101,985 = 4,597,101,985/x
  3. Step 3: Cross multiply
    2,143,480,846x = 4,597,101,985 × 4,597,101,985
  4. Step 4: Simplify right side
    2,143,480,846x = 21,133,346,660,490,940,416
  5. Step 5: Solve for x
    x = 21,133,346,660,490,940,416/2,143,480,846
  6. Step 6: Final answer
    x = 9,859,358,762.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.