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Finding the Third Proportional to 37,328,510.25 and 77,636,808

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Solution

The third proportional to 37,328,510.25 and 77,636,808 is: 161,471,055.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,328,510.25 : 77,636,808 = 77,636,808 : x
  2. Step 2: Convert to fraction form
    37,328,510.25/77,636,808 = 77,636,808/x
  3. Step 3: Cross multiply
    37,328,510.25x = 77,636,808 × 77,636,808
  4. Step 4: Simplify right side
    37,328,510.25x = 6,027,473,956,428,864
  5. Step 5: Solve for x
    x = 6,027,473,956,428,864/37,328,510.25
  6. Step 6: Final answer
    x = 161,471,055.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.