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Finding the Third Proportional to 524,847,498.75 and 1,127,583,810.28

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Solution

The third proportional to 524,847,498.75 and 1,127,583,810.28 is: 2,422,504,160.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,847,498.75 : 1,127,583,810.28 = 1,127,583,810.28 : x
  2. Step 2: Convert to fraction form
    524,847,498.75/1,127,583,810.28 = 1,127,583,810.28/x
  3. Step 3: Cross multiply
    524,847,498.75x = 1,127,583,810.28 × 1,127,583,810.28
  4. Step 4: Simplify right side
    524,847,498.75x = 1,271,445,249,208,269,056
  5. Step 5: Solve for x
    x = 1,271,445,249,208,269,056/524,847,498.75
  6. Step 6: Final answer
    x = 2,422,504,160.23

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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.