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Finding the Third Proportional to 315,750,909,948 and 681,827,038,872

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Solution

The third proportional to 315,750,909,948 and 681,827,038,872 is: 1,472,325,482,810.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,750,909,948 : 681,827,038,872 = 681,827,038,872 : x
  2. Step 2: Convert to fraction form
    315,750,909,948/681,827,038,872 = 681,827,038,872/x
  3. Step 3: Cross multiply
    315,750,909,948x = 681,827,038,872 × 681,827,038,872
  4. Step 4: Simplify right side
    315,750,909,948x = 464,888,110,936,959,829,934,080
  5. Step 5: Solve for x
    x = 464,888,110,936,959,829,934,080/315,750,909,948
  6. Step 6: Final answer
    x = 1,472,325,482,810.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.