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Finding the Third Proportional to 3,659,385,688 and 5,654,357,572

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Solution

The third proportional to 3,659,385,688 and 5,654,357,572 is: 8,736,919,876.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659,385,688 : 5,654,357,572 = 5,654,357,572 : x
  2. Step 2: Convert to fraction form
    3,659,385,688/5,654,357,572 = 5,654,357,572/x
  3. Step 3: Cross multiply
    3,659,385,688x = 5,654,357,572 × 5,654,357,572
  4. Step 4: Simplify right side
    3,659,385,688x = 31,971,759,552,033,734,656
  5. Step 5: Solve for x
    x = 31,971,759,552,033,734,656/3,659,385,688
  6. Step 6: Final answer
    x = 8,736,919,876.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.