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Finding the Third Proportional to 845,434,261.69 and 1,748,862,024.19

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Solution

The third proportional to 845,434,261.69 and 1,748,862,024.19 is: 3,617,689,178.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,434,261.69 : 1,748,862,024.19 = 1,748,862,024.19 : x
  2. Step 2: Convert to fraction form
    845,434,261.69/1,748,862,024.19 = 1,748,862,024.19/x
  3. Step 3: Cross multiply
    845,434,261.69x = 1,748,862,024.19 × 1,748,862,024.19
  4. Step 4: Simplify right side
    845,434,261.69x = 3,058,518,379,645,199,872
  5. Step 5: Solve for x
    x = 3,058,518,379,645,199,872/845,434,261.69
  6. Step 6: Final answer
    x = 3,617,689,178.51

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1.5x scale

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.