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Finding the Third Proportional to 12,692,289 and 19,336,024.50

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Solution

The third proportional to 12,692,289 and 19,336,024.50 is: 29,457,400.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,692,289 : 19,336,024.50 = 19,336,024.50 : x
  2. Step 2: Convert to fraction form
    12,692,289/19,336,024.50 = 19,336,024.50/x
  3. Step 3: Cross multiply
    12,692,289x = 19,336,024.50 × 19,336,024.50
  4. Step 4: Simplify right side
    12,692,289x = 373,881,843,464,600.25
  5. Step 5: Solve for x
    x = 373,881,843,464,600.25/12,692,289
  6. Step 6: Final answer
    x = 29,457,400.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.