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Finding the Third Proportional to 67,194,587,032 and 143,973,564,320

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Solution

The third proportional to 67,194,587,032 and 143,973,564,320 is: 308,482,991,541.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,194,587,032 : 143,973,564,320 = 143,973,564,320 : x
  2. Step 2: Convert to fraction form
    67,194,587,032/143,973,564,320 = 143,973,564,320/x
  3. Step 3: Cross multiply
    67,194,587,032x = 143,973,564,320 × 143,973,564,320
  4. Step 4: Simplify right side
    67,194,587,032x = 20,728,387,223,005,176,004,608
  5. Step 5: Solve for x
    x = 20,728,387,223,005,176,004,608/67,194,587,032
  6. Step 6: Final answer
    x = 308,482,991,541.18

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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.