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Finding the Third Proportional to 20,698,587 and 31,911,472.50

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Solution

The third proportional to 20,698,587 and 31,911,472.50 is: 49,198,627.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,698,587 : 31,911,472.50 = 31,911,472.50 : x
  2. Step 2: Convert to fraction form
    20,698,587/31,911,472.50 = 31,911,472.50/x
  3. Step 3: Cross multiply
    20,698,587x = 31,911,472.50 × 31,911,472.50
  4. Step 4: Simplify right side
    20,698,587x = 1,018,342,077,118,256.25
  5. Step 5: Solve for x
    x = 1,018,342,077,118,256.25/20,698,587
  6. Step 6: Final answer
    x = 49,198,627.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.