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Finding the Third Proportional to 846,343,986 and 1,307,248,047

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Solution

The third proportional to 846,343,986 and 1,307,248,047 is: 2,019,152,359.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,343,986 : 1,307,248,047 = 1,307,248,047 : x
  2. Step 2: Convert to fraction form
    846,343,986/1,307,248,047 = 1,307,248,047/x
  3. Step 3: Cross multiply
    846,343,986x = 1,307,248,047 × 1,307,248,047
  4. Step 4: Simplify right side
    846,343,986x = 1,708,897,456,385,314,304
  5. Step 5: Solve for x
    x = 1,708,897,456,385,314,304/846,343,986
  6. Step 6: Final answer
    x = 2,019,152,359.62

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.