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Finding the Third Proportional to 388,127,617 and 841,742,217

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Solution

The third proportional to 388,127,617 and 841,742,217 is: 1,825,507,716.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,127,617 : 841,742,217 = 841,742,217 : x
  2. Step 2: Convert to fraction form
    388,127,617/841,742,217 = 841,742,217/x
  3. Step 3: Cross multiply
    388,127,617x = 841,742,217 × 841,742,217
  4. Step 4: Simplify right side
    388,127,617x = 708,529,959,880,075,136
  5. Step 5: Solve for x
    x = 708,529,959,880,075,136/388,127,617
  6. Step 6: Final answer
    x = 1,825,507,716.65

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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.