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Finding the Third Proportional to 5,306,154,859 and 11,357,698,369

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Solution

The third proportional to 5,306,154,859 and 11,357,698,369 is: 24,310,883,430.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306,154,859 : 11,357,698,369 = 11,357,698,369 : x
  2. Step 2: Convert to fraction form
    5,306,154,859/11,357,698,369 = 11,357,698,369/x
  3. Step 3: Cross multiply
    5,306,154,859x = 11,357,698,369 × 11,357,698,369
  4. Step 4: Simplify right side
    5,306,154,859x = 128,997,312,241,185,259,520
  5. Step 5: Solve for x
    x = 128,997,312,241,185,259,520/5,306,154,859
  6. Step 6: Final answer
    x = 24,310,883,430.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.