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Finding the Third Proportional to 7,158,319,810,969 and 15,702,527,210,212

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Solution

The third proportional to 7,158,319,810,969 and 15,702,527,210,212 is: 34,445,144,572,839.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158,319,810,969 : 15,702,527,210,212 = 15,702,527,210,212 : x
  2. Step 2: Convert to fraction form
    7,158,319,810,969/15,702,527,210,212 = 15,702,527,210,212/x
  3. Step 3: Cross multiply
    7,158,319,810,969x = 15,702,527,210,212 × 15,702,527,210,212
  4. Step 4: Simplify right side
    7,158,319,810,969x = 246,569,360,787,448,272,271,704,064
  5. Step 5: Solve for x
    x = 246,569,360,787,448,272,271,704,064/7,158,319,810,969
  6. Step 6: Final answer
    x = 34,445,144,572,839.49

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.