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Finding the Third Proportional to 648,947,610 and 989,766,576

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Solution

The third proportional to 648,947,610 and 989,766,576 is: 1,509,579,294.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,947,610 : 989,766,576 = 989,766,576 : x
  2. Step 2: Convert to fraction form
    648,947,610/989,766,576 = 989,766,576/x
  3. Step 3: Cross multiply
    648,947,610x = 989,766,576 × 989,766,576
  4. Step 4: Simplify right side
    648,947,610x = 979,637,874,966,763,776
  5. Step 5: Solve for x
    x = 979,637,874,966,763,776/648,947,610
  6. Step 6: Final answer
    x = 1,509,579,294.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.