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Finding the Third Proportional to 9,169,035,424,907 and 19,626,102,435,246

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Solution

The third proportional to 9,169,035,424,907 and 19,626,102,435,246 is: 42,009,205,870,493.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,169,035,424,907 : 19,626,102,435,246 = 19,626,102,435,246 : x
  2. Step 2: Convert to fraction form
    9,169,035,424,907/19,626,102,435,246 = 19,626,102,435,246/x
  3. Step 3: Cross multiply
    9,169,035,424,907x = 19,626,102,435,246 × 19,626,102,435,246
  4. Step 4: Simplify right side
    9,169,035,424,907x = 385,183,896,798,768,967,620,493,312
  5. Step 5: Solve for x
    x = 385,183,896,798,768,967,620,493,312/9,169,035,424,907
  6. Step 6: Final answer
    x = 42,009,205,870,493.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.