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Finding the Third Proportional to 4,314,702,404,094 and 9,388,966,226,840

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Solution

The third proportional to 4,314,702,404,094 and 9,388,966,226,840 is: 20,430,768,695,680.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314,702,404,094 : 9,388,966,226,840 = 9,388,966,226,840 : x
  2. Step 2: Convert to fraction form
    4,314,702,404,094/9,388,966,226,840 = 9,388,966,226,840/x
  3. Step 3: Cross multiply
    4,314,702,404,094x = 9,388,966,226,840 × 9,388,966,226,840
  4. Step 4: Simplify right side
    4,314,702,404,094x = 88,152,686,808,742,143,916,507,136
  5. Step 5: Solve for x
    x = 88,152,686,808,742,143,916,507,136/4,314,702,404,094
  6. Step 6: Final answer
    x = 20,430,768,695,680.75

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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.