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Finding the Third Proportional to 9,920,570 and 21,258,316

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Solution

The third proportional to 9,920,570 and 21,258,316 is: 45,553,430.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920,570 : 21,258,316 = 21,258,316 : x
  2. Step 2: Convert to fraction form
    9,920,570/21,258,316 = 21,258,316/x
  3. Step 3: Cross multiply
    9,920,570x = 21,258,316 × 21,258,316
  4. Step 4: Simplify right side
    9,920,570x = 451,915,999,155,856
  5. Step 5: Solve for x
    x = 451,915,999,155,856/9,920,570
  6. Step 6: Final answer
    x = 45,553,430.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.