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Finding the Third Proportional to 1,735,520,537 and 2,643,886,222

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Solution

The third proportional to 1,735,520,537 and 2,643,886,222 is: 4,027,687,489.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735,520,537 : 2,643,886,222 = 2,643,886,222 : x
  2. Step 2: Convert to fraction form
    1,735,520,537/2,643,886,222 = 2,643,886,222/x
  3. Step 3: Cross multiply
    1,735,520,537x = 2,643,886,222 × 2,643,886,222
  4. Step 4: Simplify right side
    1,735,520,537x = 6,990,134,354,881,433,600
  5. Step 5: Solve for x
    x = 6,990,134,354,881,433,600/1,735,520,537
  6. Step 6: Final answer
    x = 4,027,687,489.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.