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Finding the Third Proportional to 570,293,478,849 and 1,208,579,253,518

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Solution

The third proportional to 570,293,478,849 and 1,208,579,253,518 is: 2,561,249,367,574.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,293,478,849 : 1,208,579,253,518 = 1,208,579,253,518 : x
  2. Step 2: Convert to fraction form
    570,293,478,849/1,208,579,253,518 = 1,208,579,253,518/x
  3. Step 3: Cross multiply
    570,293,478,849x = 1,208,579,253,518 × 1,208,579,253,518
  4. Step 4: Simplify right side
    570,293,478,849x = 1,460,663,812,034,126,164,262,912
  5. Step 5: Solve for x
    x = 1,460,663,812,034,126,164,262,912/570,293,478,849
  6. Step 6: Final answer
    x = 2,561,249,367,574.96

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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.