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Finding the Third Proportional to 11,938,783.50 and 18,934,970.63

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Solution

The third proportional to 11,938,783.50 and 18,934,970.63 is: 30,030,958.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,938,783.50 : 18,934,970.63 = 18,934,970.63 : x
  2. Step 2: Convert to fraction form
    11,938,783.50/18,934,970.63 = 18,934,970.63/x
  3. Step 3: Cross multiply
    11,938,783.50x = 18,934,970.63 × 18,934,970.63
  4. Step 4: Simplify right side
    11,938,783.50x = 358,533,112,569,612.88
  5. Step 5: Solve for x
    x = 358,533,112,569,612.88/11,938,783.50
  6. Step 6: Final answer
    x = 30,030,958.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.