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Finding the Third Proportional to 207,345,646 and 447,897,746

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Solution

The third proportional to 207,345,646 and 447,897,746 is: 967,526,421.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,345,646 : 447,897,746 = 447,897,746 : x
  2. Step 2: Convert to fraction form
    207,345,646/447,897,746 = 447,897,746/x
  3. Step 3: Cross multiply
    207,345,646x = 447,897,746 × 447,897,746
  4. Step 4: Simplify right side
    207,345,646x = 200,612,390,871,880,512
  5. Step 5: Solve for x
    x = 200,612,390,871,880,512/207,345,646
  6. Step 6: Final answer
    x = 967,526,421.42

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.