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Finding the Third Proportional to 4,687,537,568 and 10,019,742,232

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Solution

The third proportional to 4,687,537,568 and 10,019,742,232 is: 21,417,478,353.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,687,537,568 : 10,019,742,232 = 10,019,742,232 : x
  2. Step 2: Convert to fraction form
    4,687,537,568/10,019,742,232 = 10,019,742,232/x
  3. Step 3: Cross multiply
    4,687,537,568x = 10,019,742,232 × 10,019,742,232
  4. Step 4: Simplify right side
    4,687,537,568x = 100,395,234,395,724,349,440
  5. Step 5: Solve for x
    x = 100,395,234,395,724,349,440/4,687,537,568
  6. Step 6: Final answer
    x = 21,417,478,353.90

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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.