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Finding the Third Proportional to 2,056,518,334 and 3,132,963,430

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Solution

The third proportional to 2,056,518,334 and 3,132,963,430 is: 4,772,853,074.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056,518,334 : 3,132,963,430 = 3,132,963,430 : x
  2. Step 2: Convert to fraction form
    2,056,518,334/3,132,963,430 = 3,132,963,430/x
  3. Step 3: Cross multiply
    2,056,518,334x = 3,132,963,430 × 3,132,963,430
  4. Step 4: Simplify right side
    2,056,518,334x = 9,815,459,853,717,364,736
  5. Step 5: Solve for x
    x = 9,815,459,853,717,364,736/2,056,518,334
  6. Step 6: Final answer
    x = 4,772,853,074.75

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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.