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Finding the Third Proportional to 30,646,698 and 65,943,000

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Solution

The third proportional to 30,646,698 and 65,943,000 is: 141,890,628.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,646,698 : 65,943,000 = 65,943,000 : x
  2. Step 2: Convert to fraction form
    30,646,698/65,943,000 = 65,943,000/x
  3. Step 3: Cross multiply
    30,646,698x = 65,943,000 × 65,943,000
  4. Step 4: Simplify right side
    30,646,698x = 4,348,479,249,000,000
  5. Step 5: Solve for x
    x = 4,348,479,249,000,000/30,646,698
  6. Step 6: Final answer
    x = 141,890,628.77

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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.