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Finding the Third Proportional to 34,934,451,896 and 49,956,650,568

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Solution

The third proportional to 34,934,451,896 and 49,956,650,568 is: 71,438,559,946.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,934,451,896 : 49,956,650,568 = 49,956,650,568 : x
  2. Step 2: Convert to fraction form
    34,934,451,896/49,956,650,568 = 49,956,650,568/x
  3. Step 3: Cross multiply
    34,934,451,896x = 49,956,650,568 × 49,956,650,568
  4. Step 4: Simplify right side
    34,934,451,896x = 2,495,666,935,973,254,529,024
  5. Step 5: Solve for x
    x = 2,495,666,935,973,254,529,024/34,934,451,896
  6. Step 6: Final answer
    x = 71,438,559,946.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.