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Finding the Third Proportional to 2,830,775,652 and 4,221,615,312

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Solution

The third proportional to 2,830,775,652 and 4,221,615,312 is: 6,295,813,597.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830,775,652 : 4,221,615,312 = 4,221,615,312 : x
  2. Step 2: Convert to fraction form
    2,830,775,652/4,221,615,312 = 4,221,615,312/x
  3. Step 3: Cross multiply
    2,830,775,652x = 4,221,615,312 × 4,221,615,312
  4. Step 4: Simplify right side
    2,830,775,652x = 17,822,035,842,512,857,088
  5. Step 5: Solve for x
    x = 17,822,035,842,512,857,088/2,830,775,652
  6. Step 6: Final answer
    x = 6,295,813,597.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.