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Finding the Third Proportional to 1,755,973,565 and 2,585,458,052

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Solution

The third proportional to 1,755,973,565 and 2,585,458,052 is: 3,806,773,331.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755,973,565 : 2,585,458,052 = 2,585,458,052 : x
  2. Step 2: Convert to fraction form
    1,755,973,565/2,585,458,052 = 2,585,458,052/x
  3. Step 3: Cross multiply
    1,755,973,565x = 2,585,458,052 × 2,585,458,052
  4. Step 4: Simplify right side
    1,755,973,565x = 6,684,593,338,651,634,688
  5. Step 5: Solve for x
    x = 6,684,593,338,651,634,688/1,755,973,565
  6. Step 6: Final answer
    x = 3,806,773,331.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.