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Finding the Third Proportional to 429,835,258.13 and 920,970,968.63

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Solution

The third proportional to 429,835,258.13 and 920,970,968.63 is: 1,973,285,134.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,835,258.13 : 920,970,968.63 = 920,970,968.63 : x
  2. Step 2: Convert to fraction form
    429,835,258.13/920,970,968.63 = 920,970,968.63/x
  3. Step 3: Cross multiply
    429,835,258.13x = 920,970,968.63 × 920,970,968.63
  4. Step 4: Simplify right side
    429,835,258.13x = 848,187,525,050,070,784
  5. Step 5: Solve for x
    x = 848,187,525,050,070,784/429,835,258.13
  6. Step 6: Final answer
    x = 1,973,285,134.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.