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Finding the Third Proportional to 290,276,937,209 and 454,362,688,052

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Solution

The third proportional to 290,276,937,209 and 454,362,688,052 is: 711,201,703,720.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,276,937,209 : 454,362,688,052 = 454,362,688,052 : x
  2. Step 2: Convert to fraction form
    290,276,937,209/454,362,688,052 = 454,362,688,052/x
  3. Step 3: Cross multiply
    290,276,937,209x = 454,362,688,052 × 454,362,688,052
  4. Step 4: Simplify right side
    290,276,937,209x = 206,445,452,293,839,079,342,080
  5. Step 5: Solve for x
    x = 206,445,452,293,839,079,342,080/290,276,937,209
  6. Step 6: Final answer
    x = 711,201,703,720.60

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.