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Finding the Third Proportional to 524,847,483 and 1,127,583,750

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Solution

The third proportional to 524,847,483 and 1,127,583,750 is: 2,422,503,973.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,847,483 : 1,127,583,750 = 1,127,583,750 : x
  2. Step 2: Convert to fraction form
    524,847,483/1,127,583,750 = 1,127,583,750/x
  3. Step 3: Cross multiply
    524,847,483x = 1,127,583,750 × 1,127,583,750
  4. Step 4: Simplify right side
    524,847,483x = 1,271,445,113,264,062,464
  5. Step 5: Solve for x
    x = 1,271,445,113,264,062,464/524,847,483
  6. Step 6: Final answer
    x = 2,422,503,973.91

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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.