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Finding the Third Proportional to 734,657,600 and 1,598,449,696

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Solution

The third proportional to 734,657,600 and 1,598,449,696 is: 3,477,867,009.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,657,600 : 1,598,449,696 = 1,598,449,696 : x
  2. Step 2: Convert to fraction form
    734,657,600/1,598,449,696 = 1,598,449,696/x
  3. Step 3: Cross multiply
    734,657,600x = 1,598,449,696 × 1,598,449,696
  4. Step 4: Simplify right side
    734,657,600x = 2,555,041,430,642,492,416
  5. Step 5: Solve for x
    x = 2,555,041,430,642,492,416/734,657,600
  6. Step 6: Final answer
    x = 3,477,867,009.94

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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.