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Finding the Third Proportional to 5,646,352 and 12,307,808

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Solution

The third proportional to 5,646,352 and 12,307,808 is: 26,828,319.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646,352 : 12,307,808 = 12,307,808 : x
  2. Step 2: Convert to fraction form
    5,646,352/12,307,808 = 12,307,808/x
  3. Step 3: Cross multiply
    5,646,352x = 12,307,808 × 12,307,808
  4. Step 4: Simplify right side
    5,646,352x = 151,482,137,764,864
  5. Step 5: Solve for x
    x = 151,482,137,764,864/5,646,352
  6. Step 6: Final answer
    x = 26,828,319.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.