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Finding the Third Proportional to 233,303,560 and 510,546,704

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Solution

The third proportional to 233,303,560 and 510,546,704 is: 1,117,248,004.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,303,560 : 510,546,704 = 510,546,704 : x
  2. Step 2: Convert to fraction form
    233,303,560/510,546,704 = 510,546,704/x
  3. Step 3: Cross multiply
    233,303,560x = 510,546,704 × 510,546,704
  4. Step 4: Simplify right side
    233,303,560x = 260,657,936,965,263,616
  5. Step 5: Solve for x
    x = 260,657,936,965,263,616/233,303,560
  6. Step 6: Final answer
    x = 1,117,248,004.98

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Why These Related Problems?

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