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Finding the Third Proportional to 58,742,998 and 82,577,010

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Solution

The third proportional to 58,742,998 and 82,577,010 is: 116,081,283.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,742,998 : 82,577,010 = 82,577,010 : x
  2. Step 2: Convert to fraction form
    58,742,998/82,577,010 = 82,577,010/x
  3. Step 3: Cross multiply
    58,742,998x = 82,577,010 × 82,577,010
  4. Step 4: Simplify right side
    58,742,998x = 6,818,962,580,540,100
  5. Step 5: Solve for x
    x = 6,818,962,580,540,100/58,742,998
  6. Step 6: Final answer
    x = 116,081,283.09

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.