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Finding the Third Proportional to 42,362,968 and 65,461,580

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Solution

The third proportional to 42,362,968 and 65,461,580 is: 101,154,821.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,362,968 : 65,461,580 = 65,461,580 : x
  2. Step 2: Convert to fraction form
    42,362,968/65,461,580 = 65,461,580/x
  3. Step 3: Cross multiply
    42,362,968x = 65,461,580 × 65,461,580
  4. Step 4: Simplify right side
    42,362,968x = 4,285,218,456,096,400
  5. Step 5: Solve for x
    x = 4,285,218,456,096,400/42,362,968
  6. Step 6: Final answer
    x = 101,154,821.26

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.