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Finding the Third Proportional to 30,700,670.63 and 67,169,553.75

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Solution

The third proportional to 30,700,670.63 and 67,169,553.75 is: 146,959,296.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,700,670.63 : 67,169,553.75 = 67,169,553.75 : x
  2. Step 2: Convert to fraction form
    30,700,670.63/67,169,553.75 = 67,169,553.75/x
  3. Step 3: Cross multiply
    30,700,670.63x = 67,169,553.75 × 67,169,553.75
  4. Step 4: Simplify right side
    30,700,670.63x = 4,511,748,950,974,139
  5. Step 5: Solve for x
    x = 4,511,748,950,974,139/30,700,670.63
  6. Step 6: Final answer
    x = 146,959,296.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.