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Finding the Third Proportional to 1,724,989,046 and 2,816,453,721

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Solution

The third proportional to 1,724,989,046 and 2,816,453,721 is: 4,598,528,657.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724,989,046 : 2,816,453,721 = 2,816,453,721 : x
  2. Step 2: Convert to fraction form
    1,724,989,046/2,816,453,721 = 2,816,453,721/x
  3. Step 3: Cross multiply
    1,724,989,046x = 2,816,453,721 × 2,816,453,721
  4. Step 4: Simplify right side
    1,724,989,046x = 7,932,411,562,534,746,112
  5. Step 5: Solve for x
    x = 7,932,411,562,534,746,112/1,724,989,046
  6. Step 6: Final answer
    x = 4,598,528,657.87

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.