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Finding the Third Proportional to 255,547,694 and 555,869,986

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Solution

The third proportional to 255,547,694 and 555,869,986 is: 1,209,134,140.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,547,694 : 555,869,986 = 555,869,986 : x
  2. Step 2: Convert to fraction form
    255,547,694/555,869,986 = 555,869,986/x
  3. Step 3: Cross multiply
    255,547,694x = 555,869,986 × 555,869,986
  4. Step 4: Simplify right side
    255,547,694x = 308,991,441,335,640,192
  5. Step 5: Solve for x
    x = 308,991,441,335,640,192/255,547,694
  6. Step 6: Final answer
    x = 1,209,134,140.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.