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Finding the Third Proportional to 3,328,133,065,257 and 7,157,138,712,418

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Solution

The third proportional to 3,328,133,065,257 and 7,157,138,712,418 is: 15,391,402,189,875.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,328,133,065,257 : 7,157,138,712,418 = 7,157,138,712,418 : x
  2. Step 2: Convert to fraction form
    3,328,133,065,257/7,157,138,712,418 = 7,157,138,712,418/x
  3. Step 3: Cross multiply
    3,328,133,065,257x = 7,157,138,712,418 × 7,157,138,712,418
  4. Step 4: Simplify right side
    3,328,133,065,257x = 51,224,634,548,792,390,771,015,680
  5. Step 5: Solve for x
    x = 51,224,634,548,792,390,771,015,680/3,328,133,065,257
  6. Step 6: Final answer
    x = 15,391,402,189,875.12

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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.