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Finding the Third Proportional to 469,732,640 and 982,295,488

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Solution

The third proportional to 469,732,640 and 982,295,488 is: 2,054,156,649.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,732,640 : 982,295,488 = 982,295,488 : x
  2. Step 2: Convert to fraction form
    469,732,640/982,295,488 = 982,295,488/x
  3. Step 3: Cross multiply
    469,732,640x = 982,295,488 × 982,295,488
  4. Step 4: Simplify right side
    469,732,640x = 964,904,425,745,158,144
  5. Step 5: Solve for x
    x = 964,904,425,745,158,144/469,732,640
  6. Step 6: Final answer
    x = 2,054,156,649.08

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.