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Finding the Third Proportional to 3,112,319,492 and 6,721,570,200

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Solution

The third proportional to 3,112,319,492 and 6,721,570,200 is: 14,516,345,789.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112,319,492 : 6,721,570,200 = 6,721,570,200 : x
  2. Step 2: Convert to fraction form
    3,112,319,492/6,721,570,200 = 6,721,570,200/x
  3. Step 3: Cross multiply
    3,112,319,492x = 6,721,570,200 × 6,721,570,200
  4. Step 4: Simplify right side
    3,112,319,492x = 45,179,505,953,528,037,376
  5. Step 5: Solve for x
    x = 45,179,505,953,528,037,376/3,112,319,492
  6. Step 6: Final answer
    x = 14,516,345,789.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.