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Finding the Third Proportional to 71,645,313 and 156,260,457

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Solution

The third proportional to 71,645,313 and 156,260,457 is: 340,808,482.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,645,313 : 156,260,457 = 156,260,457 : x
  2. Step 2: Convert to fraction form
    71,645,313/156,260,457 = 156,260,457/x
  3. Step 3: Cross multiply
    71,645,313x = 156,260,457 × 156,260,457
  4. Step 4: Simplify right side
    71,645,313x = 24,417,330,421,848,848
  5. Step 5: Solve for x
    x = 24,417,330,421,848,848/71,645,313
  6. Step 6: Final answer
    x = 340,808,482.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.