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Finding the Third Proportional to 1,639,447,080 and 2,518,370,388

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Solution

The third proportional to 1,639,447,080 and 2,518,370,388 is: 3,868,492,913.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639,447,080 : 2,518,370,388 = 2,518,370,388 : x
  2. Step 2: Convert to fraction form
    1,639,447,080/2,518,370,388 = 2,518,370,388/x
  3. Step 3: Cross multiply
    1,639,447,080x = 2,518,370,388 × 2,518,370,388
  4. Step 4: Simplify right side
    1,639,447,080x = 6,342,189,411,155,270,656
  5. Step 5: Solve for x
    x = 6,342,189,411,155,270,656/1,639,447,080
  6. Step 6: Final answer
    x = 3,868,492,913.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.