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Finding the Third Proportional to 31,001,681.81 and 45,605,647.69

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Solution

The third proportional to 31,001,681.81 and 45,605,647.69 is: 67,089,105.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,001,681.81 : 45,605,647.69 = 45,605,647.69 : x
  2. Step 2: Convert to fraction form
    31,001,681.81/45,605,647.69 = 45,605,647.69/x
  3. Step 3: Cross multiply
    31,001,681.81x = 45,605,647.69 × 45,605,647.69
  4. Step 4: Simplify right side
    31,001,681.81x = 2,079,875,100,996,374
  5. Step 5: Solve for x
    x = 2,079,875,100,996,374/31,001,681.81
  6. Step 6: Final answer
    x = 67,089,105.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.