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Finding the Third Proportional to 386,643,946 and 585,581,535

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Solution

The third proportional to 386,643,946 and 585,581,535 is: 886,877,287.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,643,946 : 585,581,535 = 585,581,535 : x
  2. Step 2: Convert to fraction form
    386,643,946/585,581,535 = 585,581,535/x
  3. Step 3: Cross multiply
    386,643,946x = 585,581,535 × 585,581,535
  4. Step 4: Simplify right side
    386,643,946x = 342,905,734,132,956,224
  5. Step 5: Solve for x
    x = 342,905,734,132,956,224/386,643,946
  6. Step 6: Final answer
    x = 886,877,287.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.