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Finding the Third Proportional to 4,570,450,196 and 6,436,201,020

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Solution

The third proportional to 4,570,450,196 and 6,436,201,020 is: 9,063,589,316.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570,450,196 : 6,436,201,020 = 6,436,201,020 : x
  2. Step 2: Convert to fraction form
    4,570,450,196/6,436,201,020 = 6,436,201,020/x
  3. Step 3: Cross multiply
    4,570,450,196x = 6,436,201,020 × 6,436,201,020
  4. Step 4: Simplify right side
    4,570,450,196x = 41,424,683,569,849,040,896
  5. Step 5: Solve for x
    x = 41,424,683,569,849,040,896/4,570,450,196
  6. Step 6: Final answer
    x = 9,063,589,316.89

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.