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Finding the Third Proportional to 598,409,017,680 and 1,316,498,382,240

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Solution

The third proportional to 598,409,017,680 and 1,316,498,382,240 is: 2,896,293,236,288.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,409,017,680 : 1,316,498,382,240 = 1,316,498,382,240 : x
  2. Step 2: Convert to fraction form
    598,409,017,680/1,316,498,382,240 = 1,316,498,382,240/x
  3. Step 3: Cross multiply
    598,409,017,680x = 1,316,498,382,240 × 1,316,498,382,240
  4. Step 4: Simplify right side
    598,409,017,680x = 1,733,167,990,440,537,026,985,984
  5. Step 5: Solve for x
    x = 1,733,167,990,440,537,026,985,984/598,409,017,680
  6. Step 6: Final answer
    x = 2,896,293,236,288.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.