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Finding the Third Proportional to 1,946,796,925,342 and 2,861,877,842,733

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Solution

The third proportional to 1,946,796,925,342 and 2,861,877,842,733 is: 4,207,087,385,494.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946,796,925,342 : 2,861,877,842,733 = 2,861,877,842,733 : x
  2. Step 2: Convert to fraction form
    1,946,796,925,342/2,861,877,842,733 = 2,861,877,842,733/x
  3. Step 3: Cross multiply
    1,946,796,925,342x = 2,861,877,842,733 × 2,861,877,842,733
  4. Step 4: Simplify right side
    1,946,796,925,342x = 8,190,344,786,726,089,545,220,096
  5. Step 5: Solve for x
    x = 8,190,344,786,726,089,545,220,096/1,946,796,925,342
  6. Step 6: Final answer
    x = 4,207,087,385,494.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.