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Finding the Third Proportional to 5,306,155,456 and 11,357,699,587

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Solution

The third proportional to 5,306,155,456 and 11,357,699,587 is: 24,310,885,909.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306,155,456 : 11,357,699,587 = 11,357,699,587 : x
  2. Step 2: Convert to fraction form
    5,306,155,456/11,357,699,587 = 11,357,699,587/x
  3. Step 3: Cross multiply
    5,306,155,456x = 11,357,699,587 × 11,357,699,587
  4. Step 4: Simplify right side
    5,306,155,456x = 128,997,339,908,539,973,632
  5. Step 5: Solve for x
    x = 128,997,339,908,539,973,632/5,306,155,456
  6. Step 6: Final answer
    x = 24,310,885,909.43

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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.