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Finding the Third Proportional to 10,473,670,128 and 15,695,184,336

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Solution

The third proportional to 10,473,670,128 and 15,695,184,336 is: 23,519,817,631.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,473,670,128 : 15,695,184,336 = 15,695,184,336 : x
  2. Step 2: Convert to fraction form
    10,473,670,128/15,695,184,336 = 15,695,184,336/x
  3. Step 3: Cross multiply
    10,473,670,128x = 15,695,184,336 × 15,695,184,336
  4. Step 4: Simplify right side
    10,473,670,128x = 246,338,811,341,019,774,976
  5. Step 5: Solve for x
    x = 246,338,811,341,019,774,976/10,473,670,128
  6. Step 6: Final answer
    x = 23,519,817,631.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.