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Finding the Third Proportional to 35,299,423.69 and 76,270,853.81

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Solution

The third proportional to 35,299,423.69 and 76,270,853.81 is: 164,797,113.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,299,423.69 : 76,270,853.81 = 76,270,853.81 : x
  2. Step 2: Convert to fraction form
    35,299,423.69/76,270,853.81 = 76,270,853.81/x
  3. Step 3: Cross multiply
    35,299,423.69x = 76,270,853.81 × 76,270,853.81
  4. Step 4: Simplify right side
    35,299,423.69x = 5,817,243,141,287,746
  5. Step 5: Solve for x
    x = 5,817,243,141,287,746/35,299,423.69
  6. Step 6: Final answer
    x = 164,797,113.77

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.