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Finding the Third Proportional to 671,796,247,440 and 1,480,525,964,064

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Solution

The third proportional to 671,796,247,440 and 1,480,525,964,064 is: 3,262,830,268,285.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,796,247,440 : 1,480,525,964,064 = 1,480,525,964,064 : x
  2. Step 2: Convert to fraction form
    671,796,247,440/1,480,525,964,064 = 1,480,525,964,064/x
  3. Step 3: Cross multiply
    671,796,247,440x = 1,480,525,964,064 × 1,480,525,964,064
  4. Step 4: Simplify right side
    671,796,247,440x = 2,191,957,130,267,636,709,457,920
  5. Step 5: Solve for x
    x = 2,191,957,130,267,636,709,457,920/671,796,247,440
  6. Step 6: Final answer
    x = 3,262,830,268,285.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.