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Finding the Third Proportional to 265,620,333,068 and 573,566,039,896

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Solution

The third proportional to 265,620,333,068 and 573,566,039,896 is: 1,238,527,180,213.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,620,333,068 : 573,566,039,896 = 573,566,039,896 : x
  2. Step 2: Convert to fraction form
    265,620,333,068/573,566,039,896 = 573,566,039,896/x
  3. Step 3: Cross multiply
    265,620,333,068x = 573,566,039,896 × 573,566,039,896
  4. Step 4: Simplify right side
    265,620,333,068x = 328,978,002,121,979,846,459,392
  5. Step 5: Solve for x
    x = 328,978,002,121,979,846,459,392/265,620,333,068
  6. Step 6: Final answer
    x = 1,238,527,180,213.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.