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Finding the Third Proportional to 27,848,948.50 and 42,574,047

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Solution

The third proportional to 27,848,948.50 and 42,574,047 is: 65,085,023.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,848,948.50 : 42,574,047 = 42,574,047 : x
  2. Step 2: Convert to fraction form
    27,848,948.50/42,574,047 = 42,574,047/x
  3. Step 3: Cross multiply
    27,848,948.50x = 42,574,047 × 42,574,047
  4. Step 4: Simplify right side
    27,848,948.50x = 1,812,549,477,958,209
  5. Step 5: Solve for x
    x = 1,812,549,477,958,209/27,848,948.50
  6. Step 6: Final answer
    x = 65,085,023.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.