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Finding the Third Proportional to 2,325,875,655 and 5,103,668,076

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Solution

The third proportional to 2,325,875,655 and 5,103,668,076 is: 11,198,976,941.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325,875,655 : 5,103,668,076 = 5,103,668,076 : x
  2. Step 2: Convert to fraction form
    2,325,875,655/5,103,668,076 = 5,103,668,076/x
  3. Step 3: Cross multiply
    2,325,875,655x = 5,103,668,076 × 5,103,668,076
  4. Step 4: Simplify right side
    2,325,875,655x = 26,047,427,829,981,540,352
  5. Step 5: Solve for x
    x = 26,047,427,829,981,540,352/2,325,875,655
  6. Step 6: Final answer
    x = 11,198,976,941.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.