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Finding the Third Proportional to 810,303,139.69 and 1,875,734,979.19

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Solution

The third proportional to 810,303,139.69 and 1,875,734,979.19 is: 4,342,056,126.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,303,139.69 : 1,875,734,979.19 = 1,875,734,979.19 : x
  2. Step 2: Convert to fraction form
    810,303,139.69/1,875,734,979.19 = 1,875,734,979.19/x
  3. Step 3: Cross multiply
    810,303,139.69x = 1,875,734,979.19 × 1,875,734,979.19
  4. Step 4: Simplify right side
    810,303,139.69x = 3,518,381,712,147,531,264
  5. Step 5: Solve for x
    x = 3,518,381,712,147,531,264/810,303,139.69
  6. Step 6: Final answer
    x = 4,342,056,126.68

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.