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Finding the Third Proportional to 2,881,140,264 and 6,424,748,028

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Solution

The third proportional to 2,881,140,264 and 6,424,748,028 is: 14,326,753,799.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881,140,264 : 6,424,748,028 = 6,424,748,028 : x
  2. Step 2: Convert to fraction form
    2,881,140,264/6,424,748,028 = 6,424,748,028/x
  3. Step 3: Cross multiply
    2,881,140,264x = 6,424,748,028 × 6,424,748,028
  4. Step 4: Simplify right side
    2,881,140,264x = 41,277,387,223,289,888,768
  5. Step 5: Solve for x
    x = 41,277,387,223,289,888,768/2,881,140,264
  6. Step 6: Final answer
    x = 14,326,753,799.20

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.