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Finding the Third Proportional to 12,308,953.50 and 28,492,998.75

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Solution

The third proportional to 12,308,953.50 and 28,492,998.75 is: 65,956,133.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,308,953.50 : 28,492,998.75 = 28,492,998.75 : x
  2. Step 2: Convert to fraction form
    12,308,953.50/28,492,998.75 = 28,492,998.75/x
  3. Step 3: Cross multiply
    12,308,953.50x = 28,492,998.75 × 28,492,998.75
  4. Step 4: Simplify right side
    12,308,953.50x = 811,850,977,767,501.50
  5. Step 5: Solve for x
    x = 811,850,977,767,501.50/12,308,953.50
  6. Step 6: Final answer
    x = 65,956,133.29

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.