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Finding the Third Proportional to 14,184,906 and 22,464,901.50

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Solution

The third proportional to 14,184,906 and 22,464,901.50 is: 35,578,085.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,184,906 : 22,464,901.50 = 22,464,901.50 : x
  2. Step 2: Convert to fraction form
    14,184,906/22,464,901.50 = 22,464,901.50/x
  3. Step 3: Cross multiply
    14,184,906x = 22,464,901.50 × 22,464,901.50
  4. Step 4: Simplify right side
    14,184,906x = 504,671,799,404,702.25
  5. Step 5: Solve for x
    x = 504,671,799,404,702.25/14,184,906
  6. Step 6: Final answer
    x = 35,578,085.57

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.