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Finding the Third Proportional to 430,716,528 and 947,560,032

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Solution

The third proportional to 430,716,528 and 947,560,032 is: 2,084,596,145.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,716,528 : 947,560,032 = 947,560,032 : x
  2. Step 2: Convert to fraction form
    430,716,528/947,560,032 = 947,560,032/x
  3. Step 3: Cross multiply
    430,716,528x = 947,560,032 × 947,560,032
  4. Step 4: Simplify right side
    430,716,528x = 897,870,014,243,841,024
  5. Step 5: Solve for x
    x = 897,870,014,243,841,024/430,716,528
  6. Step 6: Final answer
    x = 2,084,596,145.90

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.