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Finding the Third Proportional to 1,185,793,284 and 2,575,716,708

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Solution

The third proportional to 1,185,793,284 and 2,575,716,708 is: 5,594,833,981.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185,793,284 : 2,575,716,708 = 2,575,716,708 : x
  2. Step 2: Convert to fraction form
    1,185,793,284/2,575,716,708 = 2,575,716,708/x
  3. Step 3: Cross multiply
    1,185,793,284x = 2,575,716,708 × 2,575,716,708
  4. Step 4: Simplify right side
    1,185,793,284x = 6,634,316,559,870,357,504
  5. Step 5: Solve for x
    x = 6,634,316,559,870,357,504/1,185,793,284
  6. Step 6: Final answer
    x = 5,594,833,981.09

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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.