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Finding the Third Proportional to 164,826,778,212 and 357,036,315,518

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Solution

The third proportional to 164,826,778,212 and 357,036,315,518 is: 773,387,261,350.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,826,778,212 : 357,036,315,518 = 357,036,315,518 : x
  2. Step 2: Convert to fraction form
    164,826,778,212/357,036,315,518 = 357,036,315,518/x
  3. Step 3: Cross multiply
    164,826,778,212x = 357,036,315,518 × 357,036,315,518
  4. Step 4: Simplify right side
    164,826,778,212x = 127,474,930,598,668,853,575,680
  5. Step 5: Solve for x
    x = 127,474,930,598,668,853,575,680/164,826,778,212
  6. Step 6: Final answer
    x = 773,387,261,350.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.