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Finding the Third Proportional to 714,152,851.50 and 1,103,051,586.75

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Solution

The third proportional to 714,152,851.50 and 1,103,051,586.75 is: 1,703,728,831.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,152,851.50 : 1,103,051,586.75 = 1,103,051,586.75 : x
  2. Step 2: Convert to fraction form
    714,152,851.50/1,103,051,586.75 = 1,103,051,586.75/x
  3. Step 3: Cross multiply
    714,152,851.50x = 1,103,051,586.75 × 1,103,051,586.75
  4. Step 4: Simplify right side
    714,152,851.50x = 1,216,722,803,031,692,800
  5. Step 5: Solve for x
    x = 1,216,722,803,031,692,800/714,152,851.50
  6. Step 6: Final answer
    x = 1,703,728,831.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.