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Finding the Third Proportional to 6,766,461.19 and 15,788,954.72

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Solution

The third proportional to 6,766,461.19 and 15,788,954.72 is: 36,842,166.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766,461.19 : 15,788,954.72 = 15,788,954.72 : x
  2. Step 2: Convert to fraction form
    6,766,461.19/15,788,954.72 = 15,788,954.72/x
  3. Step 3: Cross multiply
    6,766,461.19x = 15,788,954.72 × 15,788,954.72
  4. Step 4: Simplify right side
    6,766,461.19x = 249,291,091,110,737.91
  5. Step 5: Solve for x
    x = 249,291,091,110,737.91/6,766,461.19
  6. Step 6: Final answer
    x = 36,842,166.71

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.