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Finding the Third Proportional to 4,643,810.16 and 9,849,509.72

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Solution

The third proportional to 4,643,810.16 and 9,849,509.72 is: 20,890,785.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643,810.16 : 9,849,509.72 = 9,849,509.72 : x
  2. Step 2: Convert to fraction form
    4,643,810.16/9,849,509.72 = 9,849,509.72/x
  3. Step 3: Cross multiply
    4,643,810.16x = 9,849,509.72 × 9,849,509.72
  4. Step 4: Simplify right side
    4,643,810.16x = 97,012,841,699,750.70
  5. Step 5: Solve for x
    x = 97,012,841,699,750.70/4,643,810.16
  6. Step 6: Final answer
    x = 20,890,785.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.