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Finding the Third Proportional to 4,687,537,615 and 10,019,742,313

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Solution

The third proportional to 4,687,537,615 and 10,019,742,313 is: 21,417,478,485.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,687,537,615 : 10,019,742,313 = 10,019,742,313 : x
  2. Step 2: Convert to fraction form
    4,687,537,615/10,019,742,313 = 10,019,742,313/x
  3. Step 3: Cross multiply
    4,687,537,615x = 10,019,742,313 × 10,019,742,313
  4. Step 4: Simplify right side
    4,687,537,615x = 100,395,236,018,922,586,112
  5. Step 5: Solve for x
    x = 100,395,236,018,922,586,112/4,687,537,615
  6. Step 6: Final answer
    x = 21,417,478,485.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.