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Finding the Third Proportional to 21,547,446 and 46,513,416

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Solution

The third proportional to 21,547,446 and 46,513,416 is: 100,406,232.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,547,446 : 46,513,416 = 46,513,416 : x
  2. Step 2: Convert to fraction form
    21,547,446/46,513,416 = 46,513,416/x
  3. Step 3: Cross multiply
    21,547,446x = 46,513,416 × 46,513,416
  4. Step 4: Simplify right side
    21,547,446x = 2,163,497,867,989,056
  5. Step 5: Solve for x
    x = 2,163,497,867,989,056/21,547,446
  6. Step 6: Final answer
    x = 100,406,232.27

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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.