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Finding the Third Proportional to 7,564,142 and 11,319,483

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Solution

The third proportional to 7,564,142 and 11,319,483 is: 16,939,223.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564,142 : 11,319,483 = 11,319,483 : x
  2. Step 2: Convert to fraction form
    7,564,142/11,319,483 = 11,319,483/x
  3. Step 3: Cross multiply
    7,564,142x = 11,319,483 × 11,319,483
  4. Step 4: Simplify right side
    7,564,142x = 128,130,695,387,289
  5. Step 5: Solve for x
    x = 128,130,695,387,289/7,564,142
  6. Step 6: Final answer
    x = 16,939,223.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.