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Finding the Third Proportional to 353,243,461,858 and 770,420,272,720

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Solution

The third proportional to 353,243,461,858 and 770,420,272,720 is: 1,680,278,506,772.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,243,461,858 : 770,420,272,720 = 770,420,272,720 : x
  2. Step 2: Convert to fraction form
    353,243,461,858/770,420,272,720 = 770,420,272,720/x
  3. Step 3: Cross multiply
    353,243,461,858x = 770,420,272,720 × 770,420,272,720
  4. Step 4: Simplify right side
    353,243,461,858x = 593,547,396,617,959,184,007,168
  5. Step 5: Solve for x
    x = 593,547,396,617,959,184,007,168/353,243,461,858
  6. Step 6: Final answer
    x = 1,680,278,506,772.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.