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Finding the Third Proportional to 30,706,666,708 and 47,177,399,622

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Solution

The third proportional to 30,706,666,708 and 47,177,399,622 is: 72,482,860,359.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,706,666,708 : 47,177,399,622 = 47,177,399,622 : x
  2. Step 2: Convert to fraction form
    30,706,666,708/47,177,399,622 = 47,177,399,622/x
  3. Step 3: Cross multiply
    30,706,666,708x = 47,177,399,622 × 47,177,399,622
  4. Step 4: Simplify right side
    30,706,666,708x = 2,225,707,035,093,885,779,968
  5. Step 5: Solve for x
    x = 2,225,707,035,093,885,779,968/30,706,666,708
  6. Step 6: Final answer
    x = 72,482,860,359.25

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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.