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Finding the Third Proportional to 9,200,130,600 and 19,692,660,910

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Solution

The third proportional to 9,200,130,600 and 19,692,660,910 is: 42,151,672,685.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200,130,600 : 19,692,660,910 = 19,692,660,910 : x
  2. Step 2: Convert to fraction form
    9,200,130,600/19,692,660,910 = 19,692,660,910/x
  3. Step 3: Cross multiply
    9,200,130,600x = 19,692,660,910 × 19,692,660,910
  4. Step 4: Simplify right side
    9,200,130,600x = 387,800,893,716,242,038,784
  5. Step 5: Solve for x
    x = 387,800,893,716,242,038,784/9,200,130,600
  6. Step 6: Final answer
    x = 42,151,672,685.63

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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.