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Finding the Third Proportional to 1,558,823,784 and 3,392,063,340

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Solution

The third proportional to 1,558,823,784 and 3,392,063,340 is: 7,381,266,452.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558,823,784 : 3,392,063,340 = 3,392,063,340 : x
  2. Step 2: Convert to fraction form
    1,558,823,784/3,392,063,340 = 3,392,063,340/x
  3. Step 3: Cross multiply
    1,558,823,784x = 3,392,063,340 × 3,392,063,340
  4. Step 4: Simplify right side
    1,558,823,784x = 11,506,093,702,571,956,224
  5. Step 5: Solve for x
    x = 11,506,093,702,571,956,224/1,558,823,784
  6. Step 6: Final answer
    x = 7,381,266,452.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.