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Finding the Third Proportional to 56,382,748 and 89,716,920

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Solution

The third proportional to 56,382,748 and 89,716,920 is: 142,758,663.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,382,748 : 89,716,920 = 89,716,920 : x
  2. Step 2: Convert to fraction form
    56,382,748/89,716,920 = 89,716,920/x
  3. Step 3: Cross multiply
    56,382,748x = 89,716,920 × 89,716,920
  4. Step 4: Simplify right side
    56,382,748x = 8,049,125,734,286,400
  5. Step 5: Solve for x
    x = 8,049,125,734,286,400/56,382,748
  6. Step 6: Final answer
    x = 142,758,663.24

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.