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Finding the Third Proportional to 436,853,070 and 935,884,737

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Solution

The third proportional to 436,853,070 and 935,884,737 is: 2,004,976,732.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,853,070 : 935,884,737 = 935,884,737 : x
  2. Step 2: Convert to fraction form
    436,853,070/935,884,737 = 935,884,737/x
  3. Step 3: Cross multiply
    436,853,070x = 935,884,737 × 935,884,737
  4. Step 4: Simplify right side
    436,853,070x = 875,880,240,949,559,168
  5. Step 5: Solve for x
    x = 875,880,240,949,559,168/436,853,070
  6. Step 6: Final answer
    x = 2,004,976,732.68

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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.