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Finding the Third Proportional to 46,047,810 and 69,000,776

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Solution

The third proportional to 46,047,810 and 69,000,776 is: 103,394,864.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,047,810 : 69,000,776 = 69,000,776 : x
  2. Step 2: Convert to fraction form
    46,047,810/69,000,776 = 69,000,776/x
  3. Step 3: Cross multiply
    46,047,810x = 69,000,776 × 69,000,776
  4. Step 4: Simplify right side
    46,047,810x = 4,761,107,088,602,176
  5. Step 5: Solve for x
    x = 4,761,107,088,602,176/46,047,810
  6. Step 6: Final answer
    x = 103,394,864.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.