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Finding the Third Proportional to 4,593,708,306 and 10,076,695,524

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Solution

The third proportional to 4,593,708,306 and 10,076,695,524 is: 22,104,101,070.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,593,708,306 : 10,076,695,524 = 10,076,695,524 : x
  2. Step 2: Convert to fraction form
    4,593,708,306/10,076,695,524 = 10,076,695,524/x
  3. Step 3: Cross multiply
    4,593,708,306x = 10,076,695,524 × 10,076,695,524
  4. Step 4: Simplify right side
    4,593,708,306x = 101,539,792,683,401,641,984
  5. Step 5: Solve for x
    x = 101,539,792,683,401,641,984/4,593,708,306
  6. Step 6: Final answer
    x = 22,104,101,070.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.