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Finding the Third Proportional to 4,822,599 and 10,402,403

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Solution

The third proportional to 4,822,599 and 10,402,403 is: 22,438,106.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822,599 : 10,402,403 = 10,402,403 : x
  2. Step 2: Convert to fraction form
    4,822,599/10,402,403 = 10,402,403/x
  3. Step 3: Cross multiply
    4,822,599x = 10,402,403 × 10,402,403
  4. Step 4: Simplify right side
    4,822,599x = 108,209,988,174,409
  5. Step 5: Solve for x
    x = 108,209,988,174,409/4,822,599
  6. Step 6: Final answer
    x = 22,438,106.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.