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Finding the Third Proportional to 159,536,316 and 347,024,952

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Solution

The third proportional to 159,536,316 and 347,024,952 is: 754,852,063.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,536,316 : 347,024,952 = 347,024,952 : x
  2. Step 2: Convert to fraction form
    159,536,316/347,024,952 = 347,024,952/x
  3. Step 3: Cross multiply
    159,536,316x = 347,024,952 × 347,024,952
  4. Step 4: Simplify right side
    159,536,316x = 120,426,317,310,602,304
  5. Step 5: Solve for x
    x = 120,426,317,310,602,304/159,536,316
  6. Step 6: Final answer
    x = 754,852,063.34

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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.