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Finding the Third Proportional to 30,706,666,644 and 47,177,399,538

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Solution

The third proportional to 30,706,666,644 and 47,177,399,538 is: 72,482,860,252.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,706,666,644 : 47,177,399,538 = 47,177,399,538 : x
  2. Step 2: Convert to fraction form
    30,706,666,644/47,177,399,538 = 47,177,399,538/x
  3. Step 3: Cross multiply
    30,706,666,644x = 47,177,399,538 × 47,177,399,538
  4. Step 4: Simplify right side
    30,706,666,644x = 2,225,707,027,168,082,526,208
  5. Step 5: Solve for x
    x = 2,225,707,027,168,082,526,208/30,706,666,644
  6. Step 6: Final answer
    x = 72,482,860,252.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.