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Finding the Third Proportional to 37,963,816.91 and 81,308,397.06

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Solution

The third proportional to 37,963,816.91 and 81,308,397.06 is: 174,140,957.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,963,816.91 : 81,308,397.06 = 81,308,397.06 : x
  2. Step 2: Convert to fraction form
    37,963,816.91/81,308,397.06 = 81,308,397.06/x
  3. Step 3: Cross multiply
    37,963,816.91x = 81,308,397.06 × 81,308,397.06
  4. Step 4: Simplify right side
    37,963,816.91x = 6,611,055,432,237,326
  5. Step 5: Solve for x
    x = 6,611,055,432,237,326/37,963,816.91
  6. Step 6: Final answer
    x = 174,140,957.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.