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Finding the Third Proportional to 12,779,066,605,688 and 25,913,725,666,717

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Solution

The third proportional to 12,779,066,605,688 and 25,913,725,666,717 is: 52,548,531,019,548.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,779,066,605,688 : 25,913,725,666,717 = 25,913,725,666,717 : x
  2. Step 2: Convert to fraction form
    12,779,066,605,688/25,913,725,666,717 = 25,913,725,666,717/x
  3. Step 3: Cross multiply
    12,779,066,605,688x = 25,913,725,666,717 × 25,913,725,666,717
  4. Step 4: Simplify right side
    12,779,066,605,688x = 671,521,177,929,867,421,206,708,224
  5. Step 5: Solve for x
    x = 671,521,177,929,867,421,206,708,224/12,779,066,605,688
  6. Step 6: Final answer
    x = 52,548,531,019,548.12

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.