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Finding the Third Proportional to 1,641,668,809,871.20 and 3,530,403,130,559.20

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Solution

The third proportional to 1,641,668,809,871.20 and 3,530,403,130,559.20 is: 7,592,119,792,566.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641,668,809,871.20 : 3,530,403,130,559.20 = 3,530,403,130,559.20 : x
  2. Step 2: Convert to fraction form
    1,641,668,809,871.20/3,530,403,130,559.20 = 3,530,403,130,559.20/x
  3. Step 3: Cross multiply
    1,641,668,809,871.20x = 3,530,403,130,559.20 × 3,530,403,130,559.20
  4. Step 4: Simplify right side
    1,641,668,809,871.20x = 12,463,746,264,262,201,755,828,224
  5. Step 5: Solve for x
    x = 12,463,746,264,262,201,755,828,224/1,641,668,809,871.20
  6. Step 6: Final answer
    x = 7,592,119,792,566.49

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.