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Finding the Third Proportional to 877,640,076 and 1,827,921,904

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Solution

The third proportional to 877,640,076 and 1,827,921,904 is: 3,807,139,827.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,640,076 : 1,827,921,904 = 1,827,921,904 : x
  2. Step 2: Convert to fraction form
    877,640,076/1,827,921,904 = 1,827,921,904/x
  3. Step 3: Cross multiply
    877,640,076x = 1,827,921,904 × 1,827,921,904
  4. Step 4: Simplify right side
    877,640,076x = 3,341,298,487,122,984,960
  5. Step 5: Solve for x
    x = 3,341,298,487,122,984,960/877,640,076
  6. Step 6: Final answer
    x = 3,807,139,827.01

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.