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Finding the Third Proportional to 417,207,030 and 868,748,446.13

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Solution

The third proportional to 417,207,030 and 868,748,446.13 is: 1,808,991,240.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,207,030 : 868,748,446.13 = 868,748,446.13 : x
  2. Step 2: Convert to fraction form
    417,207,030/868,748,446.13 = 868,748,446.13/x
  3. Step 3: Cross multiply
    417,207,030x = 868,748,446.13 × 868,748,446.13
  4. Step 4: Simplify right side
    417,207,030x = 754,723,862,644,601,984
  5. Step 5: Solve for x
    x = 754,723,862,644,601,984/417,207,030
  6. Step 6: Final answer
    x = 1,808,991,240.26

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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.