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Finding the Third Proportional to 9,169,035,424,905 and 19,626,102,435,242

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Solution

The third proportional to 9,169,035,424,905 and 19,626,102,435,242 is: 42,009,205,870,485.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,169,035,424,905 : 19,626,102,435,242 = 19,626,102,435,242 : x
  2. Step 2: Convert to fraction form
    9,169,035,424,905/19,626,102,435,242 = 19,626,102,435,242/x
  3. Step 3: Cross multiply
    9,169,035,424,905x = 19,626,102,435,242 × 19,626,102,435,242
  4. Step 4: Simplify right side
    9,169,035,424,905x = 385,183,896,798,611,943,616,151,552
  5. Step 5: Solve for x
    x = 385,183,896,798,611,943,616,151,552/9,169,035,424,905
  6. Step 6: Final answer
    x = 42,009,205,870,485.86

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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.