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Finding the Third Proportional to 380,669,083,470 and 575,907,563,464

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Solution

The third proportional to 380,669,083,470 and 575,907,563,464 is: 871,280,427,167.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,669,083,470 : 575,907,563,464 = 575,907,563,464 : x
  2. Step 2: Convert to fraction form
    380,669,083,470/575,907,563,464 = 575,907,563,464/x
  3. Step 3: Cross multiply
    380,669,083,470x = 575,907,563,464 × 575,907,563,464
  4. Step 4: Simplify right side
    380,669,083,470x = 331,669,521,655,041,213,071,360
  5. Step 5: Solve for x
    x = 331,669,521,655,041,213,071,360/380,669,083,470
  6. Step 6: Final answer
    x = 871,280,427,167.08

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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.