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Finding the Third Proportional to 5,687,386,890 and 12,364,693,864.50

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Solution

The third proportional to 5,687,386,890 and 12,364,693,864.50 is: 26,881,528,779.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687,386,890 : 12,364,693,864.50 = 12,364,693,864.50 : x
  2. Step 2: Convert to fraction form
    5,687,386,890/12,364,693,864.50 = 12,364,693,864.50/x
  3. Step 3: Cross multiply
    5,687,386,890x = 12,364,693,864.50 × 12,364,693,864.50
  4. Step 4: Simplify right side
    5,687,386,890x = 152,885,654,362,803,929,088
  5. Step 5: Solve for x
    x = 152,885,654,362,803,929,088/5,687,386,890
  6. Step 6: Final answer
    x = 26,881,528,779.34

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.