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Finding the Third Proportional to 511,805,506.50 and 1,105,164,000

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Solution

The third proportional to 511,805,506.50 and 1,105,164,000 is: 2,386,428,929.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,805,506.50 : 1,105,164,000 = 1,105,164,000 : x
  2. Step 2: Convert to fraction form
    511,805,506.50/1,105,164,000 = 1,105,164,000/x
  3. Step 3: Cross multiply
    511,805,506.50x = 1,105,164,000 × 1,105,164,000
  4. Step 4: Simplify right side
    511,805,506.50x = 1,221,387,466,896,000,000
  5. Step 5: Solve for x
    x = 1,221,387,466,896,000,000/511,805,506.50
  6. Step 6: Final answer
    x = 2,386,428,929.32

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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.