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Finding the Third Proportional to 9,805,796,017.50 and 13,759,472,971.50

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Solution

The third proportional to 9,805,796,017.50 and 13,759,472,971.50 is: 19,307,264,409.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805,796,017.50 : 13,759,472,971.50 = 13,759,472,971.50 : x
  2. Step 2: Convert to fraction form
    9,805,796,017.50/13,759,472,971.50 = 13,759,472,971.50/x
  3. Step 3: Cross multiply
    9,805,796,017.50x = 13,759,472,971.50 × 13,759,472,971.50
  4. Step 4: Simplify right side
    9,805,796,017.50x = 189,323,096,453,439,029,248
  5. Step 5: Solve for x
    x = 189,323,096,453,439,029,248/9,805,796,017.50
  6. Step 6: Final answer
    x = 19,307,264,409.29

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.