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Finding the Third Proportional to 55,178,725 and 130,071,614.50

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Solution

The third proportional to 55,178,725 and 130,071,614.50 is: 306,615,002.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,178,725 : 130,071,614.50 = 130,071,614.50 : x
  2. Step 2: Convert to fraction form
    55,178,725/130,071,614.50 = 130,071,614.50/x
  3. Step 3: Cross multiply
    55,178,725x = 130,071,614.50 × 130,071,614.50
  4. Step 4: Simplify right side
    55,178,725x = 16,918,624,898,636,610
  5. Step 5: Solve for x
    x = 16,918,624,898,636,610/55,178,725
  6. Step 6: Final answer
    x = 306,615,002.41

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.