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Finding the Third Proportional to 6,594,971,569 and 14,223,035,283

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Solution

The third proportional to 6,594,971,569 and 14,223,035,283 is: 30,674,087,150.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,594,971,569 : 14,223,035,283 = 14,223,035,283 : x
  2. Step 2: Convert to fraction form
    6,594,971,569/14,223,035,283 = 14,223,035,283/x
  3. Step 3: Cross multiply
    6,594,971,569x = 14,223,035,283 × 14,223,035,283
  4. Step 4: Simplify right side
    6,594,971,569x = 202,294,732,661,462,892,544
  5. Step 5: Solve for x
    x = 202,294,732,661,462,892,544/6,594,971,569
  6. Step 6: Final answer
    x = 30,674,087,150.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.