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Finding the Third Proportional to 9,458,073 and 14,675,044.50

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Solution

The third proportional to 9,458,073 and 14,675,044.50 is: 22,769,641.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,458,073 : 14,675,044.50 = 14,675,044.50 : x
  2. Step 2: Convert to fraction form
    9,458,073/14,675,044.50 = 14,675,044.50/x
  3. Step 3: Cross multiply
    9,458,073x = 14,675,044.50 × 14,675,044.50
  4. Step 4: Simplify right side
    9,458,073x = 215,356,931,076,980.25
  5. Step 5: Solve for x
    x = 215,356,931,076,980.25/9,458,073
  6. Step 6: Final answer
    x = 22,769,641.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.