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Finding the Third Proportional to 10,583,370.50 and 22,438,445

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Solution

The third proportional to 10,583,370.50 and 22,438,445 is: 47,573,106.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583,370.50 : 22,438,445 = 22,438,445 : x
  2. Step 2: Convert to fraction form
    10,583,370.50/22,438,445 = 22,438,445/x
  3. Step 3: Cross multiply
    10,583,370.50x = 22,438,445 × 22,438,445
  4. Step 4: Simplify right side
    10,583,370.50x = 503,483,814,018,025
  5. Step 5: Solve for x
    x = 503,483,814,018,025/10,583,370.50
  6. Step 6: Final answer
    x = 47,573,106.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.