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Finding the Third Proportional to 2,448,276,064 and 5,312,222,046

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Solution

The third proportional to 2,448,276,064 and 5,312,222,046 is: 11,526,356,639.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448,276,064 : 5,312,222,046 = 5,312,222,046 : x
  2. Step 2: Convert to fraction form
    2,448,276,064/5,312,222,046 = 5,312,222,046/x
  3. Step 3: Cross multiply
    2,448,276,064x = 5,312,222,046 × 5,312,222,046
  4. Step 4: Simplify right side
    2,448,276,064x = 28,219,703,066,008,424,448
  5. Step 5: Solve for x
    x = 28,219,703,066,008,424,448/2,448,276,064
  6. Step 6: Final answer
    x = 11,526,356,639.66

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.