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Finding the Third Proportional to 570,293,478,851 and 1,208,579,253,522

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Solution

The third proportional to 570,293,478,851 and 1,208,579,253,522 is: 2,561,249,367,582.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,293,478,851 : 1,208,579,253,522 = 1,208,579,253,522 : x
  2. Step 2: Convert to fraction form
    570,293,478,851/1,208,579,253,522 = 1,208,579,253,522/x
  3. Step 3: Cross multiply
    570,293,478,851x = 1,208,579,253,522 × 1,208,579,253,522
  4. Step 4: Simplify right side
    570,293,478,851x = 1,460,663,812,043,794,672,517,120
  5. Step 5: Solve for x
    x = 1,460,663,812,043,794,672,517,120/570,293,478,851
  6. Step 6: Final answer
    x = 2,561,249,367,582.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.