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Finding the Third Proportional to 3,694,038,126 and 5,724,742,011

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Solution

The third proportional to 3,694,038,126 and 5,724,742,011 is: 8,871,773,916.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694,038,126 : 5,724,742,011 = 5,724,742,011 : x
  2. Step 2: Convert to fraction form
    3,694,038,126/5,724,742,011 = 5,724,742,011/x
  3. Step 3: Cross multiply
    3,694,038,126x = 5,724,742,011 × 5,724,742,011
  4. Step 4: Simplify right side
    3,694,038,126x = 32,772,671,092,508,323,840
  5. Step 5: Solve for x
    x = 32,772,671,092,508,323,840/3,694,038,126
  6. Step 6: Final answer
    x = 8,871,773,916.42

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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.