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Finding the Third Proportional to 3,328,133,065,222 and 7,157,138,712,348

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Solution

The third proportional to 3,328,133,065,222 and 7,157,138,712,348 is: 15,391,402,189,735.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,328,133,065,222 : 7,157,138,712,348 = 7,157,138,712,348 : x
  2. Step 2: Convert to fraction form
    3,328,133,065,222/7,157,138,712,348 = 7,157,138,712,348/x
  3. Step 3: Cross multiply
    3,328,133,065,222x = 7,157,138,712,348 × 7,157,138,712,348
  4. Step 4: Simplify right side
    3,328,133,065,222x = 51,224,634,547,790,383,490,793,472
  5. Step 5: Solve for x
    x = 51,224,634,547,790,383,490,793,472/3,328,133,065,222
  6. Step 6: Final answer
    x = 15,391,402,189,735.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.