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Finding the Third Proportional to 742,035,180 and 1,611,931,128

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Solution

The third proportional to 742,035,180 and 1,611,931,128 is: 3,501,615,599.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,035,180 : 1,611,931,128 = 1,611,931,128 : x
  2. Step 2: Convert to fraction form
    742,035,180/1,611,931,128 = 1,611,931,128/x
  3. Step 3: Cross multiply
    742,035,180x = 1,611,931,128 × 1,611,931,128
  4. Step 4: Simplify right side
    742,035,180x = 2,598,321,961,415,352,320
  5. Step 5: Solve for x
    x = 2,598,321,961,415,352,320/742,035,180
  6. Step 6: Final answer
    x = 3,501,615,599.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.