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Finding the Third Proportional to 77,140,445 and 164,742,724

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Solution

The third proportional to 77,140,445 and 164,742,724 is: 351,827,956.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,140,445 : 164,742,724 = 164,742,724 : x
  2. Step 2: Convert to fraction form
    77,140,445/164,742,724 = 164,742,724/x
  3. Step 3: Cross multiply
    77,140,445x = 164,742,724 × 164,742,724
  4. Step 4: Simplify right side
    77,140,445x = 27,140,165,110,940,176
  5. Step 5: Solve for x
    x = 27,140,165,110,940,176/77,140,445
  6. Step 6: Final answer
    x = 351,827,956.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.