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Finding the Third Proportional to 130,475,581,007.06 and 280,891,893,266.42

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Solution

The third proportional to 130,475,581,007.06 and 280,891,893,266.42 is: 604,712,813,645.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,475,581,007.06 : 280,891,893,266.42 = 280,891,893,266.42 : x
  2. Step 2: Convert to fraction form
    130,475,581,007.06/280,891,893,266.42 = 280,891,893,266.42/x
  3. Step 3: Cross multiply
    130,475,581,007.06x = 280,891,893,266.42 × 280,891,893,266.42
  4. Step 4: Simplify right side
    130,475,581,007.06x = 78,900,255,702,793,869,852,672
  5. Step 5: Solve for x
    x = 78,900,255,702,793,869,852,672/130,475,581,007.06
  6. Step 6: Final answer
    x = 604,712,813,645.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.