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Finding the Third Proportional to 19,835,527.50 and 30,650,946.75

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Solution

The third proportional to 19,835,527.50 and 30,650,946.75 is: 47,363,526.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,835,527.50 : 30,650,946.75 = 30,650,946.75 : x
  2. Step 2: Convert to fraction form
    19,835,527.50/30,650,946.75 = 30,650,946.75/x
  3. Step 3: Cross multiply
    19,835,527.50x = 30,650,946.75 × 30,650,946.75
  4. Step 4: Simplify right side
    19,835,527.50x = 939,480,536,671,335.50
  5. Step 5: Solve for x
    x = 939,480,536,671,335.50/19,835,527.50
  6. Step 6: Final answer
    x = 47,363,526.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.