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Finding the Third Proportional to 573,651,365.63 and 1,267,885,831.50

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Solution

The third proportional to 573,651,365.63 and 1,267,885,831.50 is: 2,802,284,763.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,651,365.63 : 1,267,885,831.50 = 1,267,885,831.50 : x
  2. Step 2: Convert to fraction form
    573,651,365.63/1,267,885,831.50 = 1,267,885,831.50/x
  3. Step 3: Cross multiply
    573,651,365.63x = 1,267,885,831.50 × 1,267,885,831.50
  4. Step 4: Simplify right side
    573,651,365.63x = 1,607,534,481,718,446,336
  5. Step 5: Solve for x
    x = 1,607,534,481,718,446,336/573,651,365.63
  6. Step 6: Final answer
    x = 2,802,284,763.96

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.