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Finding the Third Proportional to 130,475,581,009 and 280,891,893,271

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Solution

The third proportional to 130,475,581,009 and 280,891,893,271 is: 604,712,813,656.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,475,581,009 : 280,891,893,271 = 280,891,893,271 : x
  2. Step 2: Convert to fraction form
    130,475,581,009/280,891,893,271 = 280,891,893,271/x
  3. Step 3: Cross multiply
    130,475,581,009x = 280,891,893,271 × 280,891,893,271
  4. Step 4: Simplify right side
    130,475,581,009x = 78,900,255,705,366,857,252,864
  5. Step 5: Solve for x
    x = 78,900,255,705,366,857,252,864/130,475,581,009
  6. Step 6: Final answer
    x = 604,712,813,656.10

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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.