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Finding the Third Proportional to 5,976,461,050 and 8,931,752,071

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Solution

The third proportional to 5,976,461,050 and 8,931,752,071 is: 13,348,400,397.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976,461,050 : 8,931,752,071 = 8,931,752,071 : x
  2. Step 2: Convert to fraction form
    5,976,461,050/8,931,752,071 = 8,931,752,071/x
  3. Step 3: Cross multiply
    5,976,461,050x = 8,931,752,071 × 8,931,752,071
  4. Step 4: Simplify right side
    5,976,461,050x = 79,776,195,057,812,783,104
  5. Step 5: Solve for x
    x = 79,776,195,057,812,783,104/5,976,461,050
  6. Step 6: Final answer
    x = 13,348,400,397.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.