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Finding the Third Proportional to 1,029,202,271 and 1,590,288,149.50

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Solution

The third proportional to 1,029,202,271 and 1,590,288,149.50 is: 2,457,258,859.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029,202,271 : 1,590,288,149.50 = 1,590,288,149.50 : x
  2. Step 2: Convert to fraction form
    1,029,202,271/1,590,288,149.50 = 1,590,288,149.50/x
  3. Step 3: Cross multiply
    1,029,202,271x = 1,590,288,149.50 × 1,590,288,149.50
  4. Step 4: Simplify right side
    1,029,202,271x = 2,529,016,398,440,134,144
  5. Step 5: Solve for x
    x = 2,529,016,398,440,134,144/1,029,202,271
  6. Step 6: Final answer
    x = 2,457,258,859.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.