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Finding the Third Proportional to 12,779,066,605,683 and 25,913,725,666,707

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Solution

The third proportional to 12,779,066,605,683 and 25,913,725,666,707 is: 52,548,531,019,528.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,779,066,605,683 : 25,913,725,666,707 = 25,913,725,666,707 : x
  2. Step 2: Convert to fraction form
    12,779,066,605,683/25,913,725,666,707 = 25,913,725,666,707/x
  3. Step 3: Cross multiply
    12,779,066,605,683x = 25,913,725,666,707 × 25,913,725,666,707
  4. Step 4: Simplify right side
    12,779,066,605,683x = 671,521,177,929,349,138,913,165,312
  5. Step 5: Solve for x
    x = 671,521,177,929,349,138,913,165,312/12,779,066,605,683
  6. Step 6: Final answer
    x = 52,548,531,019,528.12

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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.