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Finding the Third Proportional to 585,264,642 and 845,606,335.50

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Solution

The third proportional to 585,264,642 and 845,606,335.50 is: 1,221,755,122.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,264,642 : 845,606,335.50 = 845,606,335.50 : x
  2. Step 2: Convert to fraction form
    585,264,642/845,606,335.50 = 845,606,335.50/x
  3. Step 3: Cross multiply
    585,264,642x = 845,606,335.50 × 845,606,335.50
  4. Step 4: Simplify right side
    585,264,642x = 715,050,074,637,738,624
  5. Step 5: Solve for x
    x = 715,050,074,637,738,624/585,264,642
  6. Step 6: Final answer
    x = 1,221,755,122.94

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.