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Finding the Third Proportional to 919,111,778,508 and 2,011,364,068,819

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Solution

The third proportional to 919,111,778,508 and 2,011,364,068,819 is: 4,401,625,038,364.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,111,778,508 : 2,011,364,068,819 = 2,011,364,068,819 : x
  2. Step 2: Convert to fraction form
    919,111,778,508/2,011,364,068,819 = 2,011,364,068,819/x
  3. Step 3: Cross multiply
    919,111,778,508x = 2,011,364,068,819 × 2,011,364,068,819
  4. Step 4: Simplify right side
    919,111,778,508x = 4,045,585,417,336,122,781,990,912
  5. Step 5: Solve for x
    x = 4,045,585,417,336,122,781,990,912/919,111,778,508
  6. Step 6: Final answer
    x = 4,401,625,038,364.05

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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.