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Finding the Third Proportional to 7,688,988 and 16,912,764

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Solution

The third proportional to 7,688,988 and 16,912,764 is: 37,201,460.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,688,988 : 16,912,764 = 16,912,764 : x
  2. Step 2: Convert to fraction form
    7,688,988/16,912,764 = 16,912,764/x
  3. Step 3: Cross multiply
    7,688,988x = 16,912,764 × 16,912,764
  4. Step 4: Simplify right side
    7,688,988x = 286,041,586,119,696
  5. Step 5: Solve for x
    x = 286,041,586,119,696/7,688,988
  6. Step 6: Final answer
    x = 37,201,460.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.