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Finding the Third Proportional to 494,609,963,418 and 1,071,350,492,148

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Solution

The third proportional to 494,609,963,418 and 1,071,350,492,148 is: 2,320,599,991,746.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,609,963,418 : 1,071,350,492,148 = 1,071,350,492,148 : x
  2. Step 2: Convert to fraction form
    494,609,963,418/1,071,350,492,148 = 1,071,350,492,148/x
  3. Step 3: Cross multiply
    494,609,963,418x = 1,071,350,492,148 × 1,071,350,492,148
  4. Step 4: Simplify right side
    494,609,963,418x = 1,147,791,877,025,761,870,217,216
  5. Step 5: Solve for x
    x = 1,147,791,877,025,761,870,217,216/494,609,963,418
  6. Step 6: Final answer
    x = 2,320,599,991,746.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.