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Finding the Third Proportional to 9,461,377 and 14,822,127

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Solution

The third proportional to 9,461,377 and 14,822,127 is: 23,220,240.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461,377 : 14,822,127 = 14,822,127 : x
  2. Step 2: Convert to fraction form
    9,461,377/14,822,127 = 14,822,127/x
  3. Step 3: Cross multiply
    9,461,377x = 14,822,127 × 14,822,127
  4. Step 4: Simplify right side
    9,461,377x = 219,695,448,804,129
  5. Step 5: Solve for x
    x = 219,695,448,804,129/9,461,377
  6. Step 6: Final answer
    x = 23,220,240.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.