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Finding the Third Proportional to 316,565,909 and 687,276,106

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Solution

The third proportional to 316,565,909 and 687,276,106 is: 1,492,101,431.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,565,909 : 687,276,106 = 687,276,106 : x
  2. Step 2: Convert to fraction form
    316,565,909/687,276,106 = 687,276,106/x
  3. Step 3: Cross multiply
    316,565,909x = 687,276,106 × 687,276,106
  4. Step 4: Simplify right side
    316,565,909x = 472,348,445,878,523,264
  5. Step 5: Solve for x
    x = 472,348,445,878,523,264/316,565,909
  6. Step 6: Final answer
    x = 1,492,101,431.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.