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Finding the Third Proportional to 3,644,045,964 and 7,546,490,352

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Solution

The third proportional to 3,644,045,964 and 7,546,490,352 is: 15,628,100,522.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644,045,964 : 7,546,490,352 = 7,546,490,352 : x
  2. Step 2: Convert to fraction form
    3,644,045,964/7,546,490,352 = 7,546,490,352/x
  3. Step 3: Cross multiply
    3,644,045,964x = 7,546,490,352 × 7,546,490,352
  4. Step 4: Simplify right side
    3,644,045,964x = 56,949,516,632,829,083,648
  5. Step 5: Solve for x
    x = 56,949,516,632,829,083,648/3,644,045,964
  6. Step 6: Final answer
    x = 15,628,100,522.18

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.