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Finding the Third Proportional to 10,129,396 and 14,509,998

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Solution

The third proportional to 10,129,396 and 14,509,998 is: 20,785,053.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,129,396 : 14,509,998 = 14,509,998 : x
  2. Step 2: Convert to fraction form
    10,129,396/14,509,998 = 14,509,998/x
  3. Step 3: Cross multiply
    10,129,396x = 14,509,998 × 14,509,998
  4. Step 4: Simplify right side
    10,129,396x = 210,540,041,960,004
  5. Step 5: Solve for x
    x = 210,540,041,960,004/10,129,396
  6. Step 6: Final answer
    x = 20,785,053.91

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.