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Finding the Third Proportional to 6,560,507 and 14,314,903.50

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Solution

The third proportional to 6,560,507 and 14,314,903.50 is: 31,234,851.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,560,507 : 14,314,903.50 = 14,314,903.50 : x
  2. Step 2: Convert to fraction form
    6,560,507/14,314,903.50 = 14,314,903.50/x
  3. Step 3: Cross multiply
    6,560,507x = 14,314,903.50 × 14,314,903.50
  4. Step 4: Simplify right side
    6,560,507x = 204,916,462,214,312.25
  5. Step 5: Solve for x
    x = 204,916,462,214,312.25/6,560,507
  6. Step 6: Final answer
    x = 31,234,851.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.