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Finding the Third Proportional to 370,277,949,451 and 566,483,804,317

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Solution

The third proportional to 370,277,949,451 and 566,483,804,317 is: 866,656,793,982.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,277,949,451 : 566,483,804,317 = 566,483,804,317 : x
  2. Step 2: Convert to fraction form
    370,277,949,451/566,483,804,317 = 566,483,804,317/x
  3. Step 3: Cross multiply
    370,277,949,451x = 566,483,804,317 × 566,483,804,317
  4. Step 4: Simplify right side
    370,277,949,451x = 320,903,900,553,461,169,651,712
  5. Step 5: Solve for x
    x = 320,903,900,553,461,169,651,712/370,277,949,451
  6. Step 6: Final answer
    x = 866,656,793,982.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.