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Finding the Third Proportional to 380,669,083,465.50 and 575,907,563,457

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Solution

The third proportional to 380,669,083,465.50 and 575,907,563,457 is: 871,280,427,156.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,669,083,465.50 : 575,907,563,457 = 575,907,563,457 : x
  2. Step 2: Convert to fraction form
    380,669,083,465.50/575,907,563,457 = 575,907,563,457/x
  3. Step 3: Cross multiply
    380,669,083,465.50x = 575,907,563,457 × 575,907,563,457
  4. Step 4: Simplify right side
    380,669,083,465.50x = 331,669,521,646,978,485,714,944
  5. Step 5: Solve for x
    x = 331,669,521,646,978,485,714,944/380,669,083,465.50
  6. Step 6: Final answer
    x = 871,280,427,156.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.