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Finding the Third Proportional to 274,130,554,518 and 601,216,724,628

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Solution

The third proportional to 274,130,554,518 and 601,216,724,628 is: 1,318,574,467,585.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,130,554,518 : 601,216,724,628 = 601,216,724,628 : x
  2. Step 2: Convert to fraction form
    274,130,554,518/601,216,724,628 = 601,216,724,628/x
  3. Step 3: Cross multiply
    274,130,554,518x = 601,216,724,628 × 601,216,724,628
  4. Step 4: Simplify right side
    274,130,554,518x = 361,461,549,972,420,384,784,384
  5. Step 5: Solve for x
    x = 361,461,549,972,420,384,784,384/274,130,554,518
  6. Step 6: Final answer
    x = 1,318,574,467,585.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.