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Finding the Third Proportional to 286,532,357,030.25 and 613,315,701,105

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Solution

The third proportional to 286,532,357,030.25 and 613,315,701,105 is: 1,312,787,683,459.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,532,357,030.25 : 613,315,701,105 = 613,315,701,105 : x
  2. Step 2: Convert to fraction form
    286,532,357,030.25/613,315,701,105 = 613,315,701,105/x
  3. Step 3: Cross multiply
    286,532,357,030.25x = 613,315,701,105 × 613,315,701,105
  4. Step 4: Simplify right side
    286,532,357,030.25x = 376,156,149,221,917,680,730,112
  5. Step 5: Solve for x
    x = 376,156,149,221,917,680,730,112/286,532,357,030.25
  6. Step 6: Final answer
    x = 1,312,787,683,459.45

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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.