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Finding the Third Proportional to 6,514,458 and 12,865,417.50

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Solution

The third proportional to 6,514,458 and 12,865,417.50 is: 25,407,941.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514,458 : 12,865,417.50 = 12,865,417.50 : x
  2. Step 2: Convert to fraction form
    6,514,458/12,865,417.50 = 12,865,417.50/x
  3. Step 3: Cross multiply
    6,514,458x = 12,865,417.50 × 12,865,417.50
  4. Step 4: Simplify right side
    6,514,458x = 165,518,967,449,306.25
  5. Step 5: Solve for x
    x = 165,518,967,449,306.25/6,514,458
  6. Step 6: Final answer
    x = 25,407,941.45

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.