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Finding the Third Proportional to 1,270,249,706 and 2,751,575,598

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Solution

The third proportional to 1,270,249,706 and 2,751,575,598 is: 5,960,377,897.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270,249,706 : 2,751,575,598 = 2,751,575,598 : x
  2. Step 2: Convert to fraction form
    1,270,249,706/2,751,575,598 = 2,751,575,598/x
  3. Step 3: Cross multiply
    1,270,249,706x = 2,751,575,598 × 2,751,575,598
  4. Step 4: Simplify right side
    1,270,249,706x = 7,571,168,271,509,057,536
  5. Step 5: Solve for x
    x = 7,571,168,271,509,057,536/1,270,249,706
  6. Step 6: Final answer
    x = 5,960,377,897.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.