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Finding the Third Proportional to 7,710,050.25 and 10,234,397.25

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Solution

The third proportional to 7,710,050.25 and 10,234,397.25 is: 13,585,240.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710,050.25 : 10,234,397.25 = 10,234,397.25 : x
  2. Step 2: Convert to fraction form
    7,710,050.25/10,234,397.25 = 10,234,397.25/x
  3. Step 3: Cross multiply
    7,710,050.25x = 10,234,397.25 × 10,234,397.25
  4. Step 4: Simplify right side
    7,710,050.25x = 104,742,887,070,807.56
  5. Step 5: Solve for x
    x = 104,742,887,070,807.56/7,710,050.25
  6. Step 6: Final answer
    x = 13,585,240.52

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.