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Finding the Third Proportional to 785,461,835.25 and 1,708,827,836.63

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Solution

The third proportional to 785,461,835.25 and 1,708,827,836.63 is: 3,717,675,950.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,461,835.25 : 1,708,827,836.63 = 1,708,827,836.63 : x
  2. Step 2: Convert to fraction form
    785,461,835.25/1,708,827,836.63 = 1,708,827,836.63/x
  3. Step 3: Cross multiply
    785,461,835.25x = 1,708,827,836.63 × 1,708,827,836.63
  4. Step 4: Simplify right side
    785,461,835.25x = 2,920,092,575,224,477,696
  5. Step 5: Solve for x
    x = 2,920,092,575,224,477,696/785,461,835.25
  6. Step 6: Final answer
    x = 3,717,675,950.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.