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Finding the Third Proportional to 657,908,900 and 1,462,876,648

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Solution

The third proportional to 657,908,900 and 1,462,876,648 is: 3,252,742,267.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,908,900 : 1,462,876,648 = 1,462,876,648 : x
  2. Step 2: Convert to fraction form
    657,908,900/1,462,876,648 = 1,462,876,648/x
  3. Step 3: Cross multiply
    657,908,900x = 1,462,876,648 × 1,462,876,648
  4. Step 4: Simplify right side
    657,908,900x = 2,140,008,087,263,715,840
  5. Step 5: Solve for x
    x = 2,140,008,087,263,715,840/657,908,900
  6. Step 6: Final answer
    x = 3,252,742,267.61

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.