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Finding the Third Proportional to 945,323,190 and 1,518,871,257

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Solution

The third proportional to 945,323,190 and 1,518,871,257 is: 2,440,403,366.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,323,190 : 1,518,871,257 = 1,518,871,257 : x
  2. Step 2: Convert to fraction form
    945,323,190/1,518,871,257 = 1,518,871,257/x
  3. Step 3: Cross multiply
    945,323,190x = 1,518,871,257 × 1,518,871,257
  4. Step 4: Simplify right side
    945,323,190x = 2,306,969,895,340,760,064
  5. Step 5: Solve for x
    x = 2,306,969,895,340,760,064/945,323,190
  6. Step 6: Final answer
    x = 2,440,403,366.54

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.