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Finding the Third Proportional to 46,873,709 and 74,588,511

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Solution

The third proportional to 46,873,709 and 74,588,511 is: 118,690,116.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,873,709 : 74,588,511 = 74,588,511 : x
  2. Step 2: Convert to fraction form
    46,873,709/74,588,511 = 74,588,511/x
  3. Step 3: Cross multiply
    46,873,709x = 74,588,511 × 74,588,511
  4. Step 4: Simplify right side
    46,873,709x = 5,563,445,973,197,121
  5. Step 5: Solve for x
    x = 5,563,445,973,197,121/46,873,709
  6. Step 6: Final answer
    x = 118,690,116.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.