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Finding the Third Proportional to 10,077,406,920 and 14,185,025,676

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Solution

The third proportional to 10,077,406,920 and 14,185,025,676 is: 19,966,937,430.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077,406,920 : 14,185,025,676 = 14,185,025,676 : x
  2. Step 2: Convert to fraction form
    10,077,406,920/14,185,025,676 = 14,185,025,676/x
  3. Step 3: Cross multiply
    10,077,406,920x = 14,185,025,676 × 14,185,025,676
  4. Step 4: Simplify right side
    10,077,406,920x = 201,214,953,428,779,270,144
  5. Step 5: Solve for x
    x = 201,214,953,428,779,270,144/10,077,406,920
  6. Step 6: Final answer
    x = 19,966,937,430.05

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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.