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Finding the Third Proportional to 4,602,101 and 7,203,607.50

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Solution

The third proportional to 4,602,101 and 7,203,607.50 is: 11,275,711.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602,101 : 7,203,607.50 = 7,203,607.50 : x
  2. Step 2: Convert to fraction form
    4,602,101/7,203,607.50 = 7,203,607.50/x
  3. Step 3: Cross multiply
    4,602,101x = 7,203,607.50 × 7,203,607.50
  4. Step 4: Simplify right side
    4,602,101x = 51,891,961,014,056.25
  5. Step 5: Solve for x
    x = 51,891,961,014,056.25/4,602,101
  6. Step 6: Final answer
    x = 11,275,711.03

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.