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Finding the Third Proportional to 67,194,587,034 and 143,973,564,324

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Solution

The third proportional to 67,194,587,034 and 143,973,564,324 is: 308,482,991,549.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,194,587,034 : 143,973,564,324 = 143,973,564,324 : x
  2. Step 2: Convert to fraction form
    67,194,587,034/143,973,564,324 = 143,973,564,324/x
  3. Step 3: Cross multiply
    67,194,587,034x = 143,973,564,324 × 143,973,564,324
  4. Step 4: Simplify right side
    67,194,587,034x = 20,728,387,224,156,965,437,440
  5. Step 5: Solve for x
    x = 20,728,387,224,156,965,437,440/67,194,587,034
  6. Step 6: Final answer
    x = 308,482,991,549.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.