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Finding the Third Proportional to 867,596,048.63 and 1,321,722,968.06

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Solution

The third proportional to 867,596,048.63 and 1,321,722,968.06 is: 2,013,554,127.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,596,048.63 : 1,321,722,968.06 = 1,321,722,968.06 : x
  2. Step 2: Convert to fraction form
    867,596,048.63/1,321,722,968.06 = 1,321,722,968.06/x
  3. Step 3: Cross multiply
    867,596,048.63x = 1,321,722,968.06 × 1,321,722,968.06
  4. Step 4: Simplify right side
    867,596,048.63x = 1,746,951,604,303,944,448
  5. Step 5: Solve for x
    x = 1,746,951,604,303,944,448/867,596,048.63
  6. Step 6: Final answer
    x = 2,013,554,127.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.