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Finding the Third Proportional to 7,807,971 and 11,666,011.50

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Solution

The third proportional to 7,807,971 and 11,666,011.50 is: 17,430,370.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807,971 : 11,666,011.50 = 11,666,011.50 : x
  2. Step 2: Convert to fraction form
    7,807,971/11,666,011.50 = 11,666,011.50/x
  3. Step 3: Cross multiply
    7,807,971x = 11,666,011.50 × 11,666,011.50
  4. Step 4: Simplify right side
    7,807,971x = 136,095,824,318,132.25
  5. Step 5: Solve for x
    x = 136,095,824,318,132.25/7,807,971
  6. Step 6: Final answer
    x = 17,430,370.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.