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Finding the Third Proportional to 14,537,798 and 31,716,195.50

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Solution

The third proportional to 14,537,798 and 31,716,195.50 is: 69,193,220.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,537,798 : 31,716,195.50 = 31,716,195.50 : x
  2. Step 2: Convert to fraction form
    14,537,798/31,716,195.50 = 31,716,195.50/x
  3. Step 3: Cross multiply
    14,537,798x = 31,716,195.50 × 31,716,195.50
  4. Step 4: Simplify right side
    14,537,798x = 1,005,917,056,994,220.25
  5. Step 5: Solve for x
    x = 1,005,917,056,994,220.25/14,537,798
  6. Step 6: Final answer
    x = 69,193,220.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.