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Finding the Third Proportional to 10,622,768 and 16,402,877

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Solution

The third proportional to 10,622,768 and 16,402,877 is: 25,328,085.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,622,768 : 16,402,877 = 16,402,877 : x
  2. Step 2: Convert to fraction form
    10,622,768/16,402,877 = 16,402,877/x
  3. Step 3: Cross multiply
    10,622,768x = 16,402,877 × 16,402,877
  4. Step 4: Simplify right side
    10,622,768x = 269,054,373,877,129
  5. Step 5: Solve for x
    x = 269,054,373,877,129/10,622,768
  6. Step 6: Final answer
    x = 25,328,085.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.