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Finding the Third Proportional to 6,730,788 and 14,597,160

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Solution

The third proportional to 6,730,788 and 14,597,160 is: 31,657,077.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730,788 : 14,597,160 = 14,597,160 : x
  2. Step 2: Convert to fraction form
    6,730,788/14,597,160 = 14,597,160/x
  3. Step 3: Cross multiply
    6,730,788x = 14,597,160 × 14,597,160
  4. Step 4: Simplify right side
    6,730,788x = 213,077,080,065,600
  5. Step 5: Solve for x
    x = 213,077,080,065,600/6,730,788
  6. Step 6: Final answer
    x = 31,657,077.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.