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Finding the Third Proportional to 9,877,142 and 14,842,011

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Solution

The third proportional to 9,877,142 and 14,842,011 is: 22,302,533.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877,142 : 14,842,011 = 14,842,011 : x
  2. Step 2: Convert to fraction form
    9,877,142/14,842,011 = 14,842,011/x
  3. Step 3: Cross multiply
    9,877,142x = 14,842,011 × 14,842,011
  4. Step 4: Simplify right side
    9,877,142x = 220,285,290,524,121
  5. Step 5: Solve for x
    x = 220,285,290,524,121/9,877,142
  6. Step 6: Final answer
    x = 22,302,533.52

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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.