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Finding the Third Proportional to 19,432,664 and 29,041,896

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Solution

The third proportional to 19,432,664 and 29,041,896 is: 43,402,784.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,432,664 : 29,041,896 = 29,041,896 : x
  2. Step 2: Convert to fraction form
    19,432,664/29,041,896 = 29,041,896/x
  3. Step 3: Cross multiply
    19,432,664x = 29,041,896 × 29,041,896
  4. Step 4: Simplify right side
    19,432,664x = 843,431,723,274,816
  5. Step 5: Solve for x
    x = 843,431,723,274,816/19,432,664
  6. Step 6: Final answer
    x = 43,402,784.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.