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Finding the Third Proportional to 316,964,848 and 686,692,892

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Solution

The third proportional to 316,964,848 and 686,692,892 is: 1,487,695,341.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,964,848 : 686,692,892 = 686,692,892 : x
  2. Step 2: Convert to fraction form
    316,964,848/686,692,892 = 686,692,892/x
  3. Step 3: Cross multiply
    316,964,848x = 686,692,892 × 686,692,892
  4. Step 4: Simplify right side
    316,964,848x = 471,547,127,923,323,648
  5. Step 5: Solve for x
    x = 471,547,127,923,323,648/316,964,848
  6. Step 6: Final answer
    x = 1,487,695,341.92

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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.