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Finding the Third Proportional to 1,260,659,795 and 1,884,041,510

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Solution

The third proportional to 1,260,659,795 and 1,884,041,510 is: 2,815,678,286.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260,659,795 : 1,884,041,510 = 1,884,041,510 : x
  2. Step 2: Convert to fraction form
    1,260,659,795/1,884,041,510 = 1,884,041,510/x
  3. Step 3: Cross multiply
    1,260,659,795x = 1,884,041,510 × 1,884,041,510
  4. Step 4: Simplify right side
    1,260,659,795x = 3,549,612,411,403,080,192
  5. Step 5: Solve for x
    x = 3,549,612,411,403,080,192/1,260,659,795
  6. Step 6: Final answer
    x = 2,815,678,286.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.