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Finding the Third Proportional to 37,328,510.81 and 77,636,809.13

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Solution

The third proportional to 37,328,510.81 and 77,636,809.13 is: 161,471,057.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,328,510.81 : 77,636,809.13 = 77,636,809.13 : x
  2. Step 2: Convert to fraction form
    37,328,510.81/77,636,809.13 = 77,636,809.13/x
  3. Step 3: Cross multiply
    37,328,510.81x = 77,636,809.13 × 77,636,809.13
  4. Step 4: Simplify right side
    37,328,510.81x = 6,027,474,131,111,683
  5. Step 5: Solve for x
    x = 6,027,474,131,111,683/37,328,510.81
  6. Step 6: Final answer
    x = 161,471,057.91

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