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Finding the Third Proportional to 3,746,783,732,954 and 5,055,291,002,464

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Solution

The third proportional to 3,746,783,732,954 and 5,055,291,002,464 is: 6,820,774,547,199.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746,783,732,954 : 5,055,291,002,464 = 5,055,291,002,464 : x
  2. Step 2: Convert to fraction form
    3,746,783,732,954/5,055,291,002,464 = 5,055,291,002,464/x
  3. Step 3: Cross multiply
    3,746,783,732,954x = 5,055,291,002,464 × 5,055,291,002,464
  4. Step 4: Simplify right side
    3,746,783,732,954x = 25,555,967,119,593,473,197,473,792
  5. Step 5: Solve for x
    x = 25,555,967,119,593,473,197,473,792/3,746,783,732,954
  6. Step 6: Final answer
    x = 6,820,774,547,199.42

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.