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Finding the Third Proportional to 14,054,277.09 and 32,532,547.64

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Solution

The third proportional to 14,054,277.09 and 32,532,547.64 is: 75,305,663.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,054,277.09 : 32,532,547.64 = 32,532,547.64 : x
  2. Step 2: Convert to fraction form
    14,054,277.09/32,532,547.64 = 32,532,547.64/x
  3. Step 3: Cross multiply
    14,054,277.09x = 32,532,547.64 × 32,532,547.64
  4. Step 4: Simplify right side
    14,054,277.09x = 1,058,366,655,989,535.25
  5. Step 5: Solve for x
    x = 1,058,366,655,989,535.25/14,054,277.09
  6. Step 6: Final answer
    x = 75,305,663.10

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.