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Finding the Third Proportional to 10,160,199 and 14,483,506.50

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Solution

The third proportional to 10,160,199 and 14,483,506.50 is: 20,646,442.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,160,199 : 14,483,506.50 = 14,483,506.50 : x
  2. Step 2: Convert to fraction form
    10,160,199/14,483,506.50 = 14,483,506.50/x
  3. Step 3: Cross multiply
    10,160,199x = 14,483,506.50 × 14,483,506.50
  4. Step 4: Simplify right side
    10,160,199x = 209,771,960,535,542.25
  5. Step 5: Solve for x
    x = 209,771,960,535,542.25/10,160,199
  6. Step 6: Final answer
    x = 20,646,442.12

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Why These Related Problems?

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