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Finding the Third Proportional to 346,718,116 and 722,133,992

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Solution

The third proportional to 346,718,116 and 722,133,992 is: 1,504,038,809.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,718,116 : 722,133,992 = 722,133,992 : x
  2. Step 2: Convert to fraction form
    346,718,116/722,133,992 = 722,133,992/x
  3. Step 3: Cross multiply
    346,718,116x = 722,133,992 × 722,133,992
  4. Step 4: Simplify right side
    346,718,116x = 521,477,502,401,856,064
  5. Step 5: Solve for x
    x = 521,477,502,401,856,064/346,718,116
  6. Step 6: Final answer
    x = 1,504,038,809.45

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.