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Finding the Third Proportional to 233,303,650 and 510,546,884

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Solution

The third proportional to 233,303,650 and 510,546,884 is: 1,117,248,361.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,303,650 : 510,546,884 = 510,546,884 : x
  2. Step 2: Convert to fraction form
    233,303,650/510,546,884 = 510,546,884/x
  3. Step 3: Cross multiply
    233,303,650x = 510,546,884 × 510,546,884
  4. Step 4: Simplify right side
    233,303,650x = 260,658,120,762,109,440
  5. Step 5: Solve for x
    x = 260,658,120,762,109,440/233,303,650
  6. Step 6: Final answer
    x = 1,117,248,361.79

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.