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Finding the Third Proportional to 67,629,666.02 and 147,710,822.91

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Solution

The third proportional to 67,629,666.02 and 147,710,822.91 is: 322,617,107.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,629,666.02 : 147,710,822.91 = 147,710,822.91 : x
  2. Step 2: Convert to fraction form
    67,629,666.02/147,710,822.91 = 147,710,822.91/x
  3. Step 3: Cross multiply
    67,629,666.02x = 147,710,822.91 × 147,710,822.91
  4. Step 4: Simplify right side
    67,629,666.02x = 21,818,487,203,641,548
  5. Step 5: Solve for x
    x = 21,818,487,203,641,548/67,629,666.02
  6. Step 6: Final answer
    x = 322,617,107.06

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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.