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Finding the Third Proportional to 13,760,968 and 19,248,953

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Solution

The third proportional to 13,760,968 and 19,248,953 is: 26,925,590.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,760,968 : 19,248,953 = 19,248,953 : x
  2. Step 2: Convert to fraction form
    13,760,968/19,248,953 = 19,248,953/x
  3. Step 3: Cross multiply
    13,760,968x = 19,248,953 × 19,248,953
  4. Step 4: Simplify right side
    13,760,968x = 370,522,191,596,209
  5. Step 5: Solve for x
    x = 370,522,191,596,209/13,760,968
  6. Step 6: Final answer
    x = 26,925,590.67

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.