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Finding the Third Proportional to 3,130,021.50 and 6,596,254.50

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Solution

The third proportional to 3,130,021.50 and 6,596,254.50 is: 13,901,046.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130,021.50 : 6,596,254.50 = 6,596,254.50 : x
  2. Step 2: Convert to fraction form
    3,130,021.50/6,596,254.50 = 6,596,254.50/x
  3. Step 3: Cross multiply
    3,130,021.50x = 6,596,254.50 × 6,596,254.50
  4. Step 4: Simplify right side
    3,130,021.50x = 43,510,573,428,770.25
  5. Step 5: Solve for x
    x = 43,510,573,428,770.25/3,130,021.50
  6. Step 6: Final answer
    x = 13,901,046.18

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.