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Finding the Third Proportional to 433,693,413 and 660,703,927.50

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Solution

The third proportional to 433,693,413 and 660,703,927.50 is: 1,006,539,796.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,693,413 : 660,703,927.50 = 660,703,927.50 : x
  2. Step 2: Convert to fraction form
    433,693,413/660,703,927.50 = 660,703,927.50/x
  3. Step 3: Cross multiply
    433,693,413x = 660,703,927.50 × 660,703,927.50
  4. Step 4: Simplify right side
    433,693,413x = 436,529,679,813,925,248
  5. Step 5: Solve for x
    x = 436,529,679,813,925,248/433,693,413
  6. Step 6: Final answer
    x = 1,006,539,796.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.