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Finding the Third Proportional to 672,877,699,064 and 1,447,809,726,292

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Solution

The third proportional to 672,877,699,064 and 1,447,809,726,292 is: 3,115,206,532,274.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,877,699,064 : 1,447,809,726,292 = 1,447,809,726,292 : x
  2. Step 2: Convert to fraction form
    672,877,699,064/1,447,809,726,292 = 1,447,809,726,292/x
  3. Step 3: Cross multiply
    672,877,699,064x = 1,447,809,726,292 × 1,447,809,726,292
  4. Step 4: Simplify right side
    672,877,699,064x = 2,096,153,003,545,716,009,730,048
  5. Step 5: Solve for x
    x = 2,096,153,003,545,716,009,730,048/672,877,699,064
  6. Step 6: Final answer
    x = 3,115,206,532,274.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.