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Finding the Third Proportional to 6,021,924,412 and 13,044,506,300

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Solution

The third proportional to 6,021,924,412 and 13,044,506,300 is: 28,256,605,857.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,021,924,412 : 13,044,506,300 = 13,044,506,300 : x
  2. Step 2: Convert to fraction form
    6,021,924,412/13,044,506,300 = 13,044,506,300/x
  3. Step 3: Cross multiply
    6,021,924,412x = 13,044,506,300 × 13,044,506,300
  4. Step 4: Simplify right side
    6,021,924,412x = 170,159,144,610,739,683,328
  5. Step 5: Solve for x
    x = 170,159,144,610,739,683,328/6,021,924,412
  6. Step 6: Final answer
    x = 28,256,605,857.03

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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.