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Finding the Third Proportional to 265,492,221,376 and 583,939,980,827

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Solution

The third proportional to 265,492,221,376 and 583,939,980,827 is: 1,284,353,641,100.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,492,221,376 : 583,939,980,827 = 583,939,980,827 : x
  2. Step 2: Convert to fraction form
    265,492,221,376/583,939,980,827 = 583,939,980,827/x
  3. Step 3: Cross multiply
    265,492,221,376x = 583,939,980,827 × 583,939,980,827
  4. Step 4: Simplify right side
    265,492,221,376x = 340,985,901,208,237,145,849,856
  5. Step 5: Solve for x
    x = 340,985,901,208,237,145,849,856/265,492,221,376
  6. Step 6: Final answer
    x = 1,284,353,641,100.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.