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Finding the Third Proportional to 460,510,069.50 and 1,001,706,084

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Solution

The third proportional to 460,510,069.50 and 1,001,706,084 is: 2,178,921,038.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,510,069.50 : 1,001,706,084 = 1,001,706,084 : x
  2. Step 2: Convert to fraction form
    460,510,069.50/1,001,706,084 = 1,001,706,084/x
  3. Step 3: Cross multiply
    460,510,069.50x = 1,001,706,084 × 1,001,706,084
  4. Step 4: Simplify right side
    460,510,069.50x = 1,003,415,078,722,615,040
  5. Step 5: Solve for x
    x = 1,003,415,078,722,615,040/460,510,069.50
  6. Step 6: Final answer
    x = 2,178,921,038.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.