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Finding the Third Proportional to 287,146,031 and 626,262,471.50

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Solution

The third proportional to 287,146,031 and 626,262,471.50 is: 1,365,871,859.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,146,031 : 626,262,471.50 = 626,262,471.50 : x
  2. Step 2: Convert to fraction form
    287,146,031/626,262,471.50 = 626,262,471.50/x
  3. Step 3: Cross multiply
    287,146,031x = 626,262,471.50 × 626,262,471.50
  4. Step 4: Simplify right side
    287,146,031x = 392,204,683,209,288,320
  5. Step 5: Solve for x
    x = 392,204,683,209,288,320/287,146,031
  6. Step 6: Final answer
    x = 1,365,871,859.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.