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Finding the Third Proportional to 7,872,792 and 16,953,024

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Solution

The third proportional to 7,872,792 and 16,953,024 is: 36,506,111.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872,792 : 16,953,024 = 16,953,024 : x
  2. Step 2: Convert to fraction form
    7,872,792/16,953,024 = 16,953,024/x
  3. Step 3: Cross multiply
    7,872,792x = 16,953,024 × 16,953,024
  4. Step 4: Simplify right side
    7,872,792x = 287,405,022,744,576
  5. Step 5: Solve for x
    x = 287,405,022,744,576/7,872,792
  6. Step 6: Final answer
    x = 36,506,111.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.