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Finding the Third Proportional to 13,864,770 and 29,921,701.50

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Solution

The third proportional to 13,864,770 and 29,921,701.50 is: 64,574,329.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,864,770 : 29,921,701.50 = 29,921,701.50 : x
  2. Step 2: Convert to fraction form
    13,864,770/29,921,701.50 = 29,921,701.50/x
  3. Step 3: Cross multiply
    13,864,770x = 29,921,701.50 × 29,921,701.50
  4. Step 4: Simplify right side
    13,864,770x = 895,308,220,655,102.25
  5. Step 5: Solve for x
    x = 895,308,220,655,102.25/13,864,770
  6. Step 6: Final answer
    x = 64,574,329.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.