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Finding the Third Proportional to 314,371,569,671 and 683,824,288,934

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Solution

The third proportional to 314,371,569,671 and 683,824,288,934 is: 1,487,461,663,996.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,371,569,671 : 683,824,288,934 = 683,824,288,934 : x
  2. Step 2: Convert to fraction form
    314,371,569,671/683,824,288,934 = 683,824,288,934/x
  3. Step 3: Cross multiply
    314,371,569,671x = 683,824,288,934 × 683,824,288,934
  4. Step 4: Simplify right side
    314,371,569,671x = 467,615,658,136,090,714,308,608
  5. Step 5: Solve for x
    x = 467,615,658,136,090,714,308,608/314,371,569,671
  6. Step 6: Final answer
    x = 1,487,461,663,996.73

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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.