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Finding the Third Proportional to 30,837,164.06 and 68,567,547.94

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Solution

The third proportional to 30,837,164.06 and 68,567,547.94 is: 152,462,419.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,837,164.06 : 68,567,547.94 = 68,567,547.94 : x
  2. Step 2: Convert to fraction form
    30,837,164.06/68,567,547.94 = 68,567,547.94/x
  3. Step 3: Cross multiply
    30,837,164.06x = 68,567,547.94 × 68,567,547.94
  4. Step 4: Simplify right side
    30,837,164.06x = 4,701,508,630,161,361
  5. Step 5: Solve for x
    x = 4,701,508,630,161,361/30,837,164.06
  6. Step 6: Final answer
    x = 152,462,419.07

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.