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Finding the Third Proportional to 4,643,461,477.41 and 7,100,241,026.63

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Solution

The third proportional to 4,643,461,477.41 and 7,100,241,026.63 is: 10,856,862,468.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643,461,477.41 : 7,100,241,026.63 = 7,100,241,026.63 : x
  2. Step 2: Convert to fraction form
    4,643,461,477.41/7,100,241,026.63 = 7,100,241,026.63/x
  3. Step 3: Cross multiply
    4,643,461,477.41x = 7,100,241,026.63 × 7,100,241,026.63
  4. Step 4: Simplify right side
    4,643,461,477.41x = 50,413,422,636,168,830,976
  5. Step 5: Solve for x
    x = 50,413,422,636,168,830,976/4,643,461,477.41
  6. Step 6: Final answer
    x = 10,856,862,468.11

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.