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Finding the Third Proportional to 808,654,203 and 1,155,585,670.50

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Solution

The third proportional to 808,654,203 and 1,155,585,670.50 is: 1,651,358,809.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,654,203 : 1,155,585,670.50 = 1,155,585,670.50 : x
  2. Step 2: Convert to fraction form
    808,654,203/1,155,585,670.50 = 1,155,585,670.50/x
  3. Step 3: Cross multiply
    808,654,203x = 1,155,585,670.50 × 1,155,585,670.50
  4. Step 4: Simplify right side
    808,654,203x = 1,335,378,241,864,934,656
  5. Step 5: Solve for x
    x = 1,335,378,241,864,934,656/808,654,203
  6. Step 6: Final answer
    x = 1,651,358,809.38

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.