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Finding the Third Proportional to 909,998,973 and 1,960,572,838.50

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Solution

The third proportional to 909,998,973 and 1,960,572,838.50 is: 4,224,011,201.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,998,973 : 1,960,572,838.50 = 1,960,572,838.50 : x
  2. Step 2: Convert to fraction form
    909,998,973/1,960,572,838.50 = 1,960,572,838.50/x
  3. Step 3: Cross multiply
    909,998,973x = 1,960,572,838.50 × 1,960,572,838.50
  4. Step 4: Simplify right side
    909,998,973x = 3,843,845,855,063,947,264
  5. Step 5: Solve for x
    x = 3,843,845,855,063,947,264/909,998,973
  6. Step 6: Final answer
    x = 4,224,011,201.23

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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.