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Finding the Third Proportional to 130,475,581,009.50 and 280,891,893,273

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Solution

The third proportional to 130,475,581,009.50 and 280,891,893,273 is: 604,712,813,662.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,475,581,009.50 : 280,891,893,273 = 280,891,893,273 : x
  2. Step 2: Convert to fraction form
    130,475,581,009.50/280,891,893,273 = 280,891,893,273/x
  3. Step 3: Cross multiply
    130,475,581,009.50x = 280,891,893,273 × 280,891,893,273
  4. Step 4: Simplify right side
    130,475,581,009.50x = 78,900,255,706,490,427,408,384
  5. Step 5: Solve for x
    x = 78,900,255,706,490,427,408,384/130,475,581,009.50
  6. Step 6: Final answer
    x = 604,712,813,662.39

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