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Finding the Third Proportional to 37,958,802.19 and 78,609,254.63

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Solution

The third proportional to 37,958,802.19 and 78,609,254.63 is: 162,792,674.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,958,802.19 : 78,609,254.63 = 78,609,254.63 : x
  2. Step 2: Convert to fraction form
    37,958,802.19/78,609,254.63 = 78,609,254.63/x
  3. Step 3: Cross multiply
    37,958,802.19x = 78,609,254.63 × 78,609,254.63
  4. Step 4: Simplify right side
    37,958,802.19x = 6,179,414,912,698,084
  5. Step 5: Solve for x
    x = 6,179,414,912,698,084/37,958,802.19
  6. Step 6: Final answer
    x = 162,792,674.07

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.