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Finding the Third Proportional to 353,781,986 and 765,513,316

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Solution

The third proportional to 353,781,986 and 765,513,316 is: 1,656,417,398.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,781,986 : 765,513,316 = 765,513,316 : x
  2. Step 2: Convert to fraction form
    353,781,986/765,513,316 = 765,513,316/x
  3. Step 3: Cross multiply
    353,781,986x = 765,513,316 × 765,513,316
  4. Step 4: Simplify right side
    353,781,986x = 586,010,636,973,315,840
  5. Step 5: Solve for x
    x = 586,010,636,973,315,840/353,781,986
  6. Step 6: Final answer
    x = 1,656,417,398.75

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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.