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Finding the Third Proportional to 524,770,166 and 1,214,875,102

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Solution

The third proportional to 524,770,166 and 1,214,875,102 is: 2,812,510,331.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,770,166 : 1,214,875,102 = 1,214,875,102 : x
  2. Step 2: Convert to fraction form
    524,770,166/1,214,875,102 = 1,214,875,102/x
  3. Step 3: Cross multiply
    524,770,166x = 1,214,875,102 × 1,214,875,102
  4. Step 4: Simplify right side
    524,770,166x = 1,475,921,513,459,510,528
  5. Step 5: Solve for x
    x = 1,475,921,513,459,510,528/524,770,166
  6. Step 6: Final answer
    x = 2,812,510,331.35

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.