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Finding the Third Proportional to 1,755,973,585 and 2,585,458,082

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Solution

The third proportional to 1,755,973,585 and 2,585,458,082 is: 3,806,773,376.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755,973,585 : 2,585,458,082 = 2,585,458,082 : x
  2. Step 2: Convert to fraction form
    1,755,973,585/2,585,458,082 = 2,585,458,082/x
  3. Step 3: Cross multiply
    1,755,973,585x = 2,585,458,082 × 2,585,458,082
  4. Step 4: Simplify right side
    1,755,973,585x = 6,684,593,493,779,119,104
  5. Step 5: Solve for x
    x = 6,684,593,493,779,119,104/1,755,973,585
  6. Step 6: Final answer
    x = 3,806,773,376.82

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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.