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Finding the Third Proportional to 919,111,778,611 and 2,011,364,069,004

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Solution

The third proportional to 919,111,778,611 and 2,011,364,069,004 is: 4,401,625,038,680.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,111,778,611 : 2,011,364,069,004 = 2,011,364,069,004 : x
  2. Step 2: Convert to fraction form
    919,111,778,611/2,011,364,069,004 = 2,011,364,069,004/x
  3. Step 3: Cross multiply
    919,111,778,611x = 2,011,364,069,004 × 2,011,364,069,004
  4. Step 4: Simplify right side
    919,111,778,611x = 4,045,585,418,080,327,871,496,192
  5. Step 5: Solve for x
    x = 4,045,585,418,080,327,871,496,192/919,111,778,611
  6. Step 6: Final answer
    x = 4,401,625,038,680.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.