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Finding the Third Proportional to 7,397,206,562,131 and 11,316,897,776,008

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Solution

The third proportional to 7,397,206,562,131 and 11,316,897,776,008 is: 17,313,586,446,032.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,397,206,562,131 : 11,316,897,776,008 = 11,316,897,776,008 : x
  2. Step 2: Convert to fraction form
    7,397,206,562,131/11,316,897,776,008 = 11,316,897,776,008/x
  3. Step 3: Cross multiply
    7,397,206,562,131x = 11,316,897,776,008 × 11,316,897,776,008
  4. Step 4: Simplify right side
    7,397,206,562,131x = 128,072,175,272,614,809,045,041,152
  5. Step 5: Solve for x
    x = 128,072,175,272,614,809,045,041,152/7,397,206,562,131
  6. Step 6: Final answer
    x = 17,313,586,446,032.62

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.