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Finding the Third Proportional to 359,273,322,168 and 773,037,077,840

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Solution

The third proportional to 359,273,322,168 and 773,037,077,840 is: 1,663,319,503,127.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,273,322,168 : 773,037,077,840 = 773,037,077,840 : x
  2. Step 2: Convert to fraction form
    359,273,322,168/773,037,077,840 = 773,037,077,840/x
  3. Step 3: Cross multiply
    359,273,322,168x = 773,037,077,840 × 773,037,077,840
  4. Step 4: Simplify right side
    359,273,322,168x = 597,586,323,715,406,251,950,080
  5. Step 5: Solve for x
    x = 597,586,323,715,406,251,950,080/359,273,322,168
  6. Step 6: Final answer
    x = 1,663,319,503,127.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.