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Finding the Third Proportional to 429,142,996 and 926,891,066

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Solution

The third proportional to 429,142,996 and 926,891,066 is: 2,001,959,850.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,142,996 : 926,891,066 = 926,891,066 : x
  2. Step 2: Convert to fraction form
    429,142,996/926,891,066 = 926,891,066/x
  3. Step 3: Cross multiply
    429,142,996x = 926,891,066 × 926,891,066
  4. Step 4: Simplify right side
    429,142,996x = 859,127,048,230,616,320
  5. Step 5: Solve for x
    x = 859,127,048,230,616,320/429,142,996
  6. Step 6: Final answer
    x = 2,001,959,850.77

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.