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Finding the Third Proportional to 21,855,465 and 32,074,609.50

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Solution

The third proportional to 21,855,465 and 32,074,609.50 is: 47,072,005.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,855,465 : 32,074,609.50 = 32,074,609.50 : x
  2. Step 2: Convert to fraction form
    21,855,465/32,074,609.50 = 32,074,609.50/x
  3. Step 3: Cross multiply
    21,855,465x = 32,074,609.50 × 32,074,609.50
  4. Step 4: Simplify right side
    21,855,465x = 1,028,780,574,577,490.25
  5. Step 5: Solve for x
    x = 1,028,780,574,577,490.25/21,855,465
  6. Step 6: Final answer
    x = 47,072,005.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.