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Finding the Third Proportional to 1,101,985,776 and 2,397,673,413

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Solution

The third proportional to 1,101,985,776 and 2,397,673,413 is: 5,216,798,547.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101,985,776 : 2,397,673,413 = 2,397,673,413 : x
  2. Step 2: Convert to fraction form
    1,101,985,776/2,397,673,413 = 2,397,673,413/x
  3. Step 3: Cross multiply
    1,101,985,776x = 2,397,673,413 × 2,397,673,413
  4. Step 4: Simplify right side
    1,101,985,776x = 5,748,837,795,407,068,160
  5. Step 5: Solve for x
    x = 5,748,837,795,407,068,160/1,101,985,776
  6. Step 6: Final answer
    x = 5,216,798,547.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.