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Finding the Third Proportional to 13,036,140 and 19,154,664

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Solution

The third proportional to 13,036,140 and 19,154,664 is: 28,144,922.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,036,140 : 19,154,664 = 19,154,664 : x
  2. Step 2: Convert to fraction form
    13,036,140/19,154,664 = 19,154,664/x
  3. Step 3: Cross multiply
    13,036,140x = 19,154,664 × 19,154,664
  4. Step 4: Simplify right side
    13,036,140x = 366,901,152,952,896
  5. Step 5: Solve for x
    x = 366,901,152,952,896/13,036,140
  6. Step 6: Final answer
    x = 28,144,922.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.