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Finding the Third Proportional to 4,113,786 and 8,859,746.50

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Solution

The third proportional to 4,113,786 and 8,859,746.50 is: 19,080,989.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113,786 : 8,859,746.50 = 8,859,746.50 : x
  2. Step 2: Convert to fraction form
    4,113,786/8,859,746.50 = 8,859,746.50/x
  3. Step 3: Cross multiply
    4,113,786x = 8,859,746.50 × 8,859,746.50
  4. Step 4: Simplify right side
    4,113,786x = 78,495,108,044,262.25
  5. Step 5: Solve for x
    x = 78,495,108,044,262.25/4,113,786
  6. Step 6: Final answer
    x = 19,080,989.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.