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Finding the Third Proportional to 7,845,916.50 and 16,930,400.63

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Solution

The third proportional to 7,845,916.50 and 16,930,400.63 is: 36,533,458.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,845,916.50 : 16,930,400.63 = 16,930,400.63 : x
  2. Step 2: Convert to fraction form
    7,845,916.50/16,930,400.63 = 16,930,400.63/x
  3. Step 3: Cross multiply
    7,845,916.50x = 16,930,400.63 × 16,930,400.63
  4. Step 4: Simplify right side
    7,845,916.50x = 286,638,465,323,000.38
  5. Step 5: Solve for x
    x = 286,638,465,323,000.38/7,845,916.50
  6. Step 6: Final answer
    x = 36,533,458.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.