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Finding the Third Proportional to 457,159,271.63 and 1,001,657,618.44

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Solution

The third proportional to 457,159,271.63 and 1,001,657,618.44 is: 2,194,679,287.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,159,271.63 : 1,001,657,618.44 = 1,001,657,618.44 : x
  2. Step 2: Convert to fraction form
    457,159,271.63/1,001,657,618.44 = 1,001,657,618.44/x
  3. Step 3: Cross multiply
    457,159,271.63x = 1,001,657,618.44 × 1,001,657,618.44
  4. Step 4: Simplify right side
    457,159,271.63x = 1,003,317,984,573,884,288
  5. Step 5: Solve for x
    x = 1,003,317,984,573,884,288/457,159,271.63
  6. Step 6: Final answer
    x = 2,194,679,287.61

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.