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Finding the Third Proportional to 579,896,240,020 and 1,176,327,502,802

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Solution

The third proportional to 579,896,240,020 and 1,176,327,502,802 is: 2,386,196,526,814.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,896,240,020 : 1,176,327,502,802 = 1,176,327,502,802 : x
  2. Step 2: Convert to fraction form
    579,896,240,020/1,176,327,502,802 = 1,176,327,502,802/x
  3. Step 3: Cross multiply
    579,896,240,020x = 1,176,327,502,802 × 1,176,327,502,802
  4. Step 4: Simplify right side
    579,896,240,020x = 1,383,746,393,848,389,444,829,184
  5. Step 5: Solve for x
    x = 1,383,746,393,848,389,444,829,184/579,896,240,020
  6. Step 6: Final answer
    x = 2,386,196,526,814.29

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.