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Finding the Third Proportional to 7,877,673.75 and 17,099,812.50

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Solution

The third proportional to 7,877,673.75 and 17,099,812.50 is: 37,118,011.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877,673.75 : 17,099,812.50 = 17,099,812.50 : x
  2. Step 2: Convert to fraction form
    7,877,673.75/17,099,812.50 = 17,099,812.50/x
  3. Step 3: Cross multiply
    7,877,673.75x = 17,099,812.50 × 17,099,812.50
  4. Step 4: Simplify right side
    7,877,673.75x = 292,403,587,535,156.25
  5. Step 5: Solve for x
    x = 292,403,587,535,156.25/7,877,673.75
  6. Step 6: Final answer
    x = 37,118,011.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.