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Finding the Third Proportional to 9,759,609 and 14,609,875.50

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Solution

The third proportional to 9,759,609 and 14,609,875.50 is: 21,870,595.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759,609 : 14,609,875.50 = 14,609,875.50 : x
  2. Step 2: Convert to fraction form
    9,759,609/14,609,875.50 = 14,609,875.50/x
  3. Step 3: Cross multiply
    9,759,609x = 14,609,875.50 × 14,609,875.50
  4. Step 4: Simplify right side
    9,759,609x = 213,448,462,125,500.25
  5. Step 5: Solve for x
    x = 213,448,462,125,500.25/9,759,609
  6. Step 6: Final answer
    x = 21,870,595.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.