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Finding the Third Proportional to 388,127,619 and 841,742,226

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Solution

The third proportional to 388,127,619 and 841,742,226 is: 1,825,507,746.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,127,619 : 841,742,226 = 841,742,226 : x
  2. Step 2: Convert to fraction form
    388,127,619/841,742,226 = 841,742,226/x
  3. Step 3: Cross multiply
    388,127,619x = 841,742,226 × 841,742,226
  4. Step 4: Simplify right side
    388,127,619x = 708,529,975,031,435,136
  5. Step 5: Solve for x
    x = 708,529,975,031,435,136/388,127,619
  6. Step 6: Final answer
    x = 1,825,507,746.28

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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.