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Finding the Third Proportional to 1,086,865,798 and 2,296,406,796

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Solution

The third proportional to 1,086,865,798 and 2,296,406,796 is: 4,852,010,416.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086,865,798 : 2,296,406,796 = 2,296,406,796 : x
  2. Step 2: Convert to fraction form
    1,086,865,798/2,296,406,796 = 2,296,406,796/x
  3. Step 3: Cross multiply
    1,086,865,798x = 2,296,406,796 × 2,296,406,796
  4. Step 4: Simplify right side
    1,086,865,798x = 5,273,484,172,714,985,472
  5. Step 5: Solve for x
    x = 5,273,484,172,714,985,472/1,086,865,798
  6. Step 6: Final answer
    x = 4,852,010,416.02

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.