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Finding the Third Proportional to 7,710,050 and 10,234,397

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Solution

The third proportional to 7,710,050 and 10,234,397 is: 13,585,240.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710,050 : 10,234,397 = 10,234,397 : x
  2. Step 2: Convert to fraction form
    7,710,050/10,234,397 = 10,234,397/x
  3. Step 3: Cross multiply
    7,710,050x = 10,234,397 × 10,234,397
  4. Step 4: Simplify right side
    7,710,050x = 104,742,881,953,609
  5. Step 5: Solve for x
    x = 104,742,881,953,609/7,710,050
  6. Step 6: Final answer
    x = 13,585,240.30

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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.