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Finding the Third Proportional to 6,696,698 and 14,535,014

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Solution

The third proportional to 6,696,698 and 14,535,014 is: 31,547,881.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696,698 : 14,535,014 = 14,535,014 : x
  2. Step 2: Convert to fraction form
    6,696,698/14,535,014 = 14,535,014/x
  3. Step 3: Cross multiply
    6,696,698x = 14,535,014 × 14,535,014
  4. Step 4: Simplify right side
    6,696,698x = 211,266,631,980,196
  5. Step 5: Solve for x
    x = 211,266,631,980,196/6,696,698
  6. Step 6: Final answer
    x = 31,547,881.06

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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.