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Finding the Third Proportional to 3,694,038,128 and 5,724,742,012

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Solution

The third proportional to 3,694,038,128 and 5,724,742,012 is: 8,871,773,914.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694,038,128 : 5,724,742,012 = 5,724,742,012 : x
  2. Step 2: Convert to fraction form
    3,694,038,128/5,724,742,012 = 5,724,742,012/x
  3. Step 3: Cross multiply
    3,694,038,128x = 5,724,742,012 × 5,724,742,012
  4. Step 4: Simplify right side
    3,694,038,128x = 32,772,671,103,957,807,104
  5. Step 5: Solve for x
    x = 32,772,671,103,957,807,104/3,694,038,128
  6. Step 6: Final answer
    x = 8,871,773,914.72

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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.