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Finding the Third Proportional to 12,705,095,072 and 19,221,047,103

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Solution

The third proportional to 12,705,095,072 and 19,221,047,103 is: 29,078,778,997.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,705,095,072 : 19,221,047,103 = 19,221,047,103 : x
  2. Step 2: Convert to fraction form
    12,705,095,072/19,221,047,103 = 19,221,047,103/x
  3. Step 3: Cross multiply
    12,705,095,072x = 19,221,047,103 × 19,221,047,103
  4. Step 4: Simplify right side
    12,705,095,072x = 369,448,651,735,744,708,608
  5. Step 5: Solve for x
    x = 369,448,651,735,744,708,608/12,705,095,072
  6. Step 6: Final answer
    x = 29,078,778,997.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.