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Finding the Third Proportional to 579,896,240,024 and 1,176,327,502,807

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Solution

The third proportional to 579,896,240,024 and 1,176,327,502,807 is: 2,386,196,526,818.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,896,240,024 : 1,176,327,502,807 = 1,176,327,502,807 : x
  2. Step 2: Convert to fraction form
    579,896,240,024/1,176,327,502,807 = 1,176,327,502,807/x
  3. Step 3: Cross multiply
    579,896,240,024x = 1,176,327,502,807 × 1,176,327,502,807
  4. Step 4: Simplify right side
    579,896,240,024x = 1,383,746,393,860,152,554,946,560
  5. Step 5: Solve for x
    x = 1,383,746,393,860,152,554,946,560/579,896,240,024
  6. Step 6: Final answer
    x = 2,386,196,526,818.11

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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.