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Finding the Third Proportional to 1,018,319,080.50 and 2,198,904,813

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Solution

The third proportional to 1,018,319,080.50 and 2,198,904,813 is: 4,748,199,723.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018,319,080.50 : 2,198,904,813 = 2,198,904,813 : x
  2. Step 2: Convert to fraction form
    1,018,319,080.50/2,198,904,813 = 2,198,904,813/x
  3. Step 3: Cross multiply
    1,018,319,080.50x = 2,198,904,813 × 2,198,904,813
  4. Step 4: Simplify right side
    1,018,319,080.50x = 4,835,182,376,634,564,608
  5. Step 5: Solve for x
    x = 4,835,182,376,634,564,608/1,018,319,080.50
  6. Step 6: Final answer
    x = 4,748,199,723.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.