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Finding the Third Proportional to 353,781,984 and 765,513,312

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Solution

The third proportional to 353,781,984 and 765,513,312 is: 1,656,417,390.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,781,984 : 765,513,312 = 765,513,312 : x
  2. Step 2: Convert to fraction form
    353,781,984/765,513,312 = 765,513,312/x
  3. Step 3: Cross multiply
    353,781,984x = 765,513,312 × 765,513,312
  4. Step 4: Simplify right side
    353,781,984x = 586,010,630,849,209,344
  5. Step 5: Solve for x
    x = 586,010,630,849,209,344/353,781,984
  6. Step 6: Final answer
    x = 1,656,417,390.80

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