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Finding the Third Proportional to 10,267,614 and 15,783,430.50

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Solution

The third proportional to 10,267,614 and 15,783,430.50 is: 24,262,372.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,267,614 : 15,783,430.50 = 15,783,430.50 : x
  2. Step 2: Convert to fraction form
    10,267,614/15,783,430.50 = 15,783,430.50/x
  3. Step 3: Cross multiply
    10,267,614x = 15,783,430.50 × 15,783,430.50
  4. Step 4: Simplify right side
    10,267,614x = 249,116,678,348,330.25
  5. Step 5: Solve for x
    x = 249,116,678,348,330.25/10,267,614
  6. Step 6: Final answer
    x = 24,262,372.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.