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Finding the Third Proportional to 417,207,034.50 and 868,748,457

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Solution

The third proportional to 417,207,034.50 and 868,748,457 is: 1,808,991,266.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,207,034.50 : 868,748,457 = 868,748,457 : x
  2. Step 2: Convert to fraction form
    417,207,034.50/868,748,457 = 868,748,457/x
  3. Step 3: Cross multiply
    417,207,034.50x = 868,748,457 × 868,748,457
  4. Step 4: Simplify right side
    417,207,034.50x = 754,723,881,539,880,832
  5. Step 5: Solve for x
    x = 754,723,881,539,880,832/417,207,034.50
  6. Step 6: Final answer
    x = 1,808,991,266.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.