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Finding the Third Proportional to 4,314,702,304,642 and 9,388,966,025,317

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Solution

The third proportional to 4,314,702,304,642 and 9,388,966,025,317 is: 20,430,768,289,556.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314,702,304,642 : 9,388,966,025,317 = 9,388,966,025,317 : x
  2. Step 2: Convert to fraction form
    4,314,702,304,642/9,388,966,025,317 = 9,388,966,025,317/x
  3. Step 3: Cross multiply
    4,314,702,304,642x = 9,388,966,025,317 × 9,388,966,025,317
  4. Step 4: Simplify right side
    4,314,702,304,642x = 88,152,683,024,556,908,789,891,072
  5. Step 5: Solve for x
    x = 88,152,683,024,556,908,789,891,072/4,314,702,304,642
  6. Step 6: Final answer
    x = 20,430,768,289,556.68

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Why These Related Problems?

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