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Finding the Third Proportional to 5,426,395,428 and 11,754,281,796

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Solution

The third proportional to 5,426,395,428 and 11,754,281,796 is: 25,461,310,804.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,426,395,428 : 11,754,281,796 = 11,754,281,796 : x
  2. Step 2: Convert to fraction form
    5,426,395,428/11,754,281,796 = 11,754,281,796/x
  3. Step 3: Cross multiply
    5,426,395,428x = 11,754,281,796 × 11,754,281,796
  4. Step 4: Simplify right side
    5,426,395,428x = 138,163,140,539,776,991,232
  5. Step 5: Solve for x
    x = 138,163,140,539,776,991,232/5,426,395,428
  6. Step 6: Final answer
    x = 25,461,310,804.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.