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Finding the Third Proportional to 3,047,368.50 and 6,346,954.50

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Solution

The third proportional to 3,047,368.50 and 6,346,954.50 is: 13,219,218.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047,368.50 : 6,346,954.50 = 6,346,954.50 : x
  2. Step 2: Convert to fraction form
    3,047,368.50/6,346,954.50 = 6,346,954.50/x
  3. Step 3: Cross multiply
    3,047,368.50x = 6,346,954.50 × 6,346,954.50
  4. Step 4: Simplify right side
    3,047,368.50x = 40,283,831,425,070.25
  5. Step 5: Solve for x
    x = 40,283,831,425,070.25/3,047,368.50
  6. Step 6: Final answer
    x = 13,219,218.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.