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Finding the Third Proportional to 985,321,312 and 1,377,539,556

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Solution

The third proportional to 985,321,312 and 1,377,539,556 is: 1,925,884,688.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,321,312 : 1,377,539,556 = 1,377,539,556 : x
  2. Step 2: Convert to fraction form
    985,321,312/1,377,539,556 = 1,377,539,556/x
  3. Step 3: Cross multiply
    985,321,312x = 1,377,539,556 × 1,377,539,556
  4. Step 4: Simplify right side
    985,321,312x = 1,897,615,228,344,677,120
  5. Step 5: Solve for x
    x = 1,897,615,228,344,677,120/985,321,312
  6. Step 6: Final answer
    x = 1,925,884,688.82

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.