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Finding the Third Proportional to 4,909,290,534 and 10,736,893,620

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Solution

The third proportional to 4,909,290,534 and 10,736,893,620 is: 23,482,188,273.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909,290,534 : 10,736,893,620 = 10,736,893,620 : x
  2. Step 2: Convert to fraction form
    4,909,290,534/10,736,893,620 = 10,736,893,620/x
  3. Step 3: Cross multiply
    4,909,290,534x = 10,736,893,620 × 10,736,893,620
  4. Step 4: Simplify right side
    4,909,290,534x = 115,280,884,607,196,708,864
  5. Step 5: Solve for x
    x = 115,280,884,607,196,708,864/4,909,290,534
  6. Step 6: Final answer
    x = 23,482,188,273.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.