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Finding the Third Proportional to 429,142,878.75 and 926,890,839.75

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Solution

The third proportional to 429,142,878.75 and 926,890,839.75 is: 2,001,959,420.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,142,878.75 : 926,890,839.75 = 926,890,839.75 : x
  2. Step 2: Convert to fraction form
    429,142,878.75/926,890,839.75 = 926,890,839.75/x
  3. Step 3: Cross multiply
    429,142,878.75x = 926,890,839.75 × 926,890,839.75
  4. Step 4: Simplify right side
    429,142,878.75x = 859,126,628,812,460,160
  5. Step 5: Solve for x
    x = 859,126,628,812,460,160/429,142,878.75
  6. Step 6: Final answer
    x = 2,001,959,420.40

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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.