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Finding the Third Proportional to 2,191,490,359 and 4,693,276,814

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Solution

The third proportional to 2,191,490,359 and 4,693,276,814 is: 10,051,081,065.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191,490,359 : 4,693,276,814 = 4,693,276,814 : x
  2. Step 2: Convert to fraction form
    2,191,490,359/4,693,276,814 = 4,693,276,814/x
  3. Step 3: Cross multiply
    2,191,490,359x = 4,693,276,814 × 4,693,276,814
  4. Step 4: Simplify right side
    2,191,490,359x = 22,026,847,252,829,990,912
  5. Step 5: Solve for x
    x = 22,026,847,252,829,990,912/2,191,490,359
  6. Step 6: Final answer
    x = 10,051,081,065.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.