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Finding the Third Proportional to 10,232,380,803 and 22,390,464,678

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Solution

The third proportional to 10,232,380,803 and 22,390,464,678 is: 48,994,746,984.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,232,380,803 : 22,390,464,678 = 22,390,464,678 : x
  2. Step 2: Convert to fraction form
    10,232,380,803/22,390,464,678 = 22,390,464,678/x
  3. Step 3: Cross multiply
    10,232,380,803x = 22,390,464,678 × 22,390,464,678
  4. Step 4: Simplify right side
    10,232,380,803x = 501,332,908,496,765,648,896
  5. Step 5: Solve for x
    x = 501,332,908,496,765,648,896/10,232,380,803
  6. Step 6: Final answer
    x = 48,994,746,984.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.