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Finding the Third Proportional to 29,585,119,875 and 63,359,237,046

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Solution

The third proportional to 29,585,119,875 and 63,359,237,046 is: 135,689,594,499.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,585,119,875 : 63,359,237,046 = 63,359,237,046 : x
  2. Step 2: Convert to fraction form
    29,585,119,875/63,359,237,046 = 63,359,237,046/x
  3. Step 3: Cross multiply
    29,585,119,875x = 63,359,237,046 × 63,359,237,046
  4. Step 4: Simplify right side
    29,585,119,875x = 4,014,392,919,051,218,714,624
  5. Step 5: Solve for x
    x = 4,014,392,919,051,218,714,624/29,585,119,875
  6. Step 6: Final answer
    x = 135,689,594,499.28

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.