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Finding the Third Proportional to 705,281,409 and 1,646,950,801.50

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Solution

The third proportional to 705,281,409 and 1,646,950,801.50 is: 3,845,907,332.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,281,409 : 1,646,950,801.50 = 1,646,950,801.50 : x
  2. Step 2: Convert to fraction form
    705,281,409/1,646,950,801.50 = 1,646,950,801.50/x
  3. Step 3: Cross multiply
    705,281,409x = 1,646,950,801.50 × 1,646,950,801.50
  4. Step 4: Simplify right side
    705,281,409x = 2,712,446,942,561,492,480
  5. Step 5: Solve for x
    x = 2,712,446,942,561,492,480/705,281,409
  6. Step 6: Final answer
    x = 3,845,907,332.80

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.