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Finding the Third Proportional to 9,438,643,819 and 20,448,295,216

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Solution

The third proportional to 9,438,643,819 and 20,448,295,216 is: 44,300,090,697.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438,643,819 : 20,448,295,216 = 20,448,295,216 : x
  2. Step 2: Convert to fraction form
    9,438,643,819/20,448,295,216 = 20,448,295,216/x
  3. Step 3: Cross multiply
    9,438,643,819x = 20,448,295,216 × 20,448,295,216
  4. Step 4: Simplify right side
    9,438,643,819x = 418,132,777,240,688,459,776
  5. Step 5: Solve for x
    x = 418,132,777,240,688,459,776/9,438,643,819
  6. Step 6: Final answer
    x = 44,300,090,697.24

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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.