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Finding the Third Proportional to 7,824,020 and 16,804,964

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Solution

The third proportional to 7,824,020 and 16,804,964 is: 36,094,848.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824,020 : 16,804,964 = 16,804,964 : x
  2. Step 2: Convert to fraction form
    7,824,020/16,804,964 = 16,804,964/x
  3. Step 3: Cross multiply
    7,824,020x = 16,804,964 × 16,804,964
  4. Step 4: Simplify right side
    7,824,020x = 282,406,815,041,296
  5. Step 5: Solve for x
    x = 282,406,815,041,296/7,824,020
  6. Step 6: Final answer
    x = 36,094,848.31

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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.