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Finding the Third Proportional to 23,829,673.50 and 35,712,495

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Solution

The third proportional to 23,829,673.50 and 35,712,495 is: 53,520,762.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,829,673.50 : 35,712,495 = 35,712,495 : x
  2. Step 2: Convert to fraction form
    23,829,673.50/35,712,495 = 35,712,495/x
  3. Step 3: Cross multiply
    23,829,673.50x = 35,712,495 × 35,712,495
  4. Step 4: Simplify right side
    23,829,673.50x = 1,275,382,299,125,025
  5. Step 5: Solve for x
    x = 1,275,382,299,125,025/23,829,673.50
  6. Step 6: Final answer
    x = 53,520,762.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.