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Finding the Third Proportional to 2,698,021,095 and 6,016,404,666

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Solution

The third proportional to 2,698,021,095 and 6,016,404,666 is: 13,416,175,719.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698,021,095 : 6,016,404,666 = 6,016,404,666 : x
  2. Step 2: Convert to fraction form
    2,698,021,095/6,016,404,666 = 6,016,404,666/x
  3. Step 3: Cross multiply
    2,698,021,095x = 6,016,404,666 × 6,016,404,666
  4. Step 4: Simplify right side
    2,698,021,095x = 36,197,125,105,066,569,728
  5. Step 5: Solve for x
    x = 36,197,125,105,066,569,728/2,698,021,095
  6. Step 6: Final answer
    x = 13,416,175,719.36

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.