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Finding the Third Proportional to 9,877,140 and 14,842,008

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Solution

The third proportional to 9,877,140 and 14,842,008 is: 22,302,529.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877,140 : 14,842,008 = 14,842,008 : x
  2. Step 2: Convert to fraction form
    9,877,140/14,842,008 = 14,842,008/x
  3. Step 3: Cross multiply
    9,877,140x = 14,842,008 × 14,842,008
  4. Step 4: Simplify right side
    9,877,140x = 220,285,201,472,064
  5. Step 5: Solve for x
    x = 220,285,201,472,064/9,877,140
  6. Step 6: Final answer
    x = 22,302,529.02

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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.