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Finding the Third Proportional to 14,001,021 and 22,862,263.50

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Solution

The third proportional to 14,001,021 and 22,862,263.50 is: 37,331,784.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,001,021 : 22,862,263.50 = 22,862,263.50 : x
  2. Step 2: Convert to fraction form
    14,001,021/22,862,263.50 = 22,862,263.50/x
  3. Step 3: Cross multiply
    14,001,021x = 22,862,263.50 × 22,862,263.50
  4. Step 4: Simplify right side
    14,001,021x = 522,683,092,343,432.25
  5. Step 5: Solve for x
    x = 522,683,092,343,432.25/14,001,021
  6. Step 6: Final answer
    x = 37,331,784.04

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.