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Finding the Third Proportional to 382,639,710,784.70 and 839,360,440,570.50

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Solution

The third proportional to 382,639,710,784.70 and 839,360,440,570.50 is: 1,841,225,386,016.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,639,710,784.70 : 839,360,440,570.50 = 839,360,440,570.50 : x
  2. Step 2: Convert to fraction form
    382,639,710,784.70/839,360,440,570.50 = 839,360,440,570.50/x
  3. Step 3: Cross multiply
    382,639,710,784.70x = 839,360,440,570.50 × 839,360,440,570.50
  4. Step 4: Simplify right side
    382,639,710,784.70x = 704,525,949,194,703,820,816,384
  5. Step 5: Solve for x
    x = 704,525,949,194,703,820,816,384/382,639,710,784.70
  6. Step 6: Final answer
    x = 1,841,225,386,016.25

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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.