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Finding the Third Proportional to 2,914,312,666 and 4,476,740,726

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Solution

The third proportional to 2,914,312,666 and 4,476,740,726 is: 6,876,821,338.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914,312,666 : 4,476,740,726 = 4,476,740,726 : x
  2. Step 2: Convert to fraction form
    2,914,312,666/4,476,740,726 = 4,476,740,726/x
  3. Step 3: Cross multiply
    2,914,312,666x = 4,476,740,726 × 4,476,740,726
  4. Step 4: Simplify right side
    2,914,312,666x = 20,041,207,527,827,005,440
  5. Step 5: Solve for x
    x = 20,041,207,527,827,005,440/2,914,312,666
  6. Step 6: Final answer
    x = 6,876,821,338.23

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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.